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DESCRIPTION

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Package: energycode
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Title: Personal technical blog using Quarto
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Title: Personal Technical Blog Powered by Quarto
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Version: 0.1.0
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Authors@R: person("Enrique", "Perez Herrero", email = "energycode.org@gmail.com", role = c("aut", "cre"))
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Description: Personal blog with R and Python content.
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Config/Description: This is not a conventional R package. It is a Quarto blog/site.
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Description: A personal blog featuring content in R and Python, built using Quarto.
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Config/Description: This is not a traditional R package, but a Quarto-based blog/site framework.
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License: MIT + file LICENSE
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Encoding: UTF-8
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Imports:

_publish.yml

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# [ENERGYCODE] (c) 2025
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- source: project
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netlify:
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- id: "d638f799-bbf7-4905-99e0-7696e734c879"

_site/index.html

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<h5 class="quarto-listing-category-title">Categories</h5><div class="quarto-listing-category category-default"><div class="category" data-category="">All <span class="quarto-category-count">(8)</span></div><div class="category" data-category="Qmlub21pYWw=">Binomial <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Q2F0YWxhbidzJTIwbnVtYmVycw==">Catalan's numbers <span class="quarto-category-count">(1)</span></div><div class="category" data-category="RGV0ZXJtaW5hbnQ=">Determinant <span class="quarto-category-count">(2)</span></div><div class="category" data-category="RXNwZWNpYWwlMjBudW1iZXJz">Especial numbers <span class="quarto-category-count">(1)</span></div><div class="category" data-category="RXVjbGlk">Euclid <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Rmlib25hY2Np">Fibonacci <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TGF0ZXg=">Latex <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TGluZWFyJTIwQWxnZWJyYQ==">Linear Algebra <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TWFjaGluZSUyMExlYXJuaW5n">Machine Learning <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TWF0aA==">Math <span class="quarto-category-count">(4)</span></div><div class="category" data-category="TnVtcHk=">Numpy <span class="quarto-category-count">(1)</span></div><div class="category" data-category="T0VJUw==">OEIS <span class="quarto-category-count">(1)</span></div><div class="category" data-category="UHl0aG9u">Python <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Ug==">R <span class="quarto-category-count">(3)</span></div><div class="category" data-category="U2VyaWVz">Series <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Y29tYmluYXRvcmljcw==">combinatorics <span class="quarto-category-count">(1)</span></div><div class="category" data-category="bWF0aA==">math <span class="quarto-category-count">(1)</span></div><div class="category" data-category="bWF0cmljZXM=">matrices <span class="quarto-category-count">(1)</span></div></div></div>
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<h5 class="quarto-listing-category-title">Categories</h5><div class="quarto-listing-category category-default"><div class="category" data-category="">All <span class="quarto-category-count">(8)</span></div><div class="category" data-category="Qmlub21pYWw=">Binomial <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Q2F0YWxhbiUyMG51bWJlcnM=">Catalan numbers <span class="quarto-category-count">(1)</span></div><div class="category" data-category="RGV0ZXJtaW5hbnQ=">Determinant <span class="quarto-category-count">(2)</span></div><div class="category" data-category="RXNwZWNpYWwlMjBudW1iZXJz">Especial numbers <span class="quarto-category-count">(1)</span></div><div class="category" data-category="RXVjbGlk">Euclid <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Rmlib25hY2Np">Fibonacci <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TGF0ZXg=">Latex <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TGluZWFyJTIwQWxnZWJyYQ==">Linear Algebra <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TWFjaGluZSUyMExlYXJuaW5n">Machine Learning <span class="quarto-category-count">(1)</span></div><div class="category" data-category="TWF0aA==">Math <span class="quarto-category-count">(4)</span></div><div class="category" data-category="TnVtcHk=">Numpy <span class="quarto-category-count">(1)</span></div><div class="category" data-category="T0VJUw==">OEIS <span class="quarto-category-count">(1)</span></div><div class="category" data-category="UHl0aG9u">Python <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Ug==">R <span class="quarto-category-count">(3)</span></div><div class="category" data-category="U2VyaWVz">Series <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Y29tYmluYXRvcmljcw==">combinatorics <span class="quarto-category-count">(1)</span></div><div class="category" data-category="bWF0aA==">math <span class="quarto-category-count">(1)</span></div><div class="category" data-category="bWF0cmljZXM=">matrices <span class="quarto-category-count">(1)</span></div></div></div>
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OEIS
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Catalan’s numbers
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Catalan numbers
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Binomial

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<div id="ref-HubbardRoby2006" class="csl-entry" role="listitem">
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<div class="csl-left-margin">[4] </div><div class="csl-right-inline">M. Hubbard and T. Roby, <span>“Pascal’s triangle from top to bottom,”</span> 2006. <a href="https://www.merlot.org/merlot/viewMaterial.htm?id=86655">https://www.merlot.org/merlot/viewMaterial.htm?id=86655</a> (accessed Jan. 17, 2026).</div>
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</div>
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<div id="ref-OEIS_A000027" class="csl-entry" role="listitem">
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<div class="csl-left-margin">[5] </div><div class="csl-right-inline">N. J. A. Sloane, <span>“The positive integers. Also called the natural numbers, the whole numbers or the counting numbers, but these terms are ambiguous.”</span> <a href="https://oeis.org/A000027" class="uri">https://oeis.org/A000027</a>, Apr. 30, 1991.</div>
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</div>
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<div id="ref-OEIS_A000096" class="csl-entry" role="listitem">
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<div class="csl-left-margin">[6] </div><div class="csl-right-inline">N. J. A. Sloane, <span>“A(n) = n*(n+3)/2.”</span> <a href="https://oeis.org/A000096" class="uri">https://oeis.org/A000096</a>, Apr. 30, 1991.</div>
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</div>
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<div id="ref-OEIS_A062748" class="csl-entry" role="listitem">
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<div class="csl-left-margin">[7] </div><div class="csl-right-inline">W. Lang, <span>“Fourth column (r=3) of FS(3) staircase array A062745.”</span> <a href="https://oeis.org/A062748" class="uri">https://oeis.org/A062748</a>, May 16, 2003.</div>
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</div>
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<div id="ref-OEIS_A063258" class="csl-entry" role="listitem">
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<div class="csl-left-margin">[8] </div><div class="csl-right-inline">W. Lang, <span>“A(n) = binomial(n+5,4) - 1.”</span> <a href="https://oeis.org/A063258" class="uri">https://oeis.org/A063258</a>, May 16, 2003.</div>
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</div>
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<div id="ref-OEIS_A062988" class="csl-entry" role="listitem">
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<div class="csl-left-margin">[9] </div><div class="csl-right-inline">W. Lang, <span>“A(n) = binomial(n+6,5) - 1.”</span> <a href="https://oeis.org/A062988" class="uri">https://oeis.org/A062988</a>, May 16, 2003.</div>
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</div>
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<div id="ref-OEIS_A124089" class="csl-entry" role="listitem">
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<div class="csl-left-margin">[10] </div><div class="csl-right-inline">Z. Lajos, <span>“A(n) = binomial(n,6)-1.”</span> <a href="https://oeis.org/A124089" class="uri">https://oeis.org/A124089</a>, Dec. 06, 2006.</div>
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</div>
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<div id="ref-OEIS_A124090" class="csl-entry" role="listitem">
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<div class="csl-left-margin">[11] </div><div class="csl-right-inline">Z. Lajos, <span>“C(n,7)-1.”</span> <a href="https://oeis.org/A124090" class="uri">https://oeis.org/A124090</a>, Dec. 06, 2006.</div>
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</div>
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<div id="ref-OEIS_A165618" class="csl-entry" role="listitem">
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<div class="csl-left-margin">[12] </div><div class="csl-right-inline">E. P. Herrero, <span>“A(n) = binomial(n+8,8) - 1.”</span> <a href="https://oeis.org/A165618" class="uri">https://oeis.org/A165618</a>, Jun. 01, 2010.</div>
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</div>
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<div id="ref-OEIS_A035927" class="csl-entry" role="listitem">
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<div class="csl-left-margin">[13] </div><div class="csl-right-inline">N. J. A. Sloane, <span>“One less than number of n-multisets chosen from a 10-set.”</span> <a href="https://oeis.org/A035927" class="uri">https://oeis.org/A035927</a>, Dec. 11, 1999.</div>
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</div>
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</div></section><section id="footnotes" class="footnotes footnotes-end-of-document" role="doc-endnotes"><h2 class="anchored quarto-appendix-heading">Footnotes</h2>
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<div class="sourceCode" id="cb1" data-shortcodes="false"><pre class="sourceCode markdown code-with-copy"><code class="sourceCode markdown"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a><span class="co">---</span></span>
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<span id="cb1-2"><a href="#cb1-2" aria-hidden="true" tabindex="-1"></a><span class="an">title:</span><span class="co"> &lt;span style='text-transform:none'&gt;A004782(n) = A014847(n) + 1&lt;/span&gt;</span></span>
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<span id="cb1-3"><a href="#cb1-3" aria-hidden="true" tabindex="-1"></a><span class="an">title-case:</span><span class="co"> false</span></span>
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<span id="cb1-4"><a href="#cb1-4" aria-hidden="true" tabindex="-1"></a><span class="an">description:</span><span class="co"> Relación entre dos secuencias asociadas con los números de Catalan</span></span>
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<span id="cb1-4"><a href="#cb1-4" aria-hidden="true" tabindex="-1"></a><span class="an">description:</span><span class="co"> "Relación entre dos secuencias asociadas con los números de Catalan"</span></span>
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<span id="cb1-5"><a href="#cb1-5" aria-hidden="true" tabindex="-1"></a><span class="an">author:</span><span class="co"> 'Enrique Pérez Herrero'</span></span>
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<span id="cb1-6"><a href="#cb1-6" aria-hidden="true" tabindex="-1"></a><span class="an">date:</span><span class="co"> '2024-05-18'</span></span>
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<span id="cb1-7"><a href="#cb1-7" aria-hidden="true" tabindex="-1"></a><span class="an">lang:</span><span class="co"> es</span></span>
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<span id="cb1-12"><a href="#cb1-12" aria-hidden="true" tabindex="-1"></a><span class="an">categories:</span></span>
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<span id="cb1-13"><a href="#cb1-13" aria-hidden="true" tabindex="-1"></a><span class="co"> - Math</span></span>
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<span id="cb1-14"><a href="#cb1-14" aria-hidden="true" tabindex="-1"></a><span class="co"> - OEIS</span></span>
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<span id="cb1-15"><a href="#cb1-15" aria-hidden="true" tabindex="-1"></a><span class="co"> - Catalan's numbers</span></span>
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<span id="cb1-15"><a href="#cb1-15" aria-hidden="true" tabindex="-1"></a><span class="co"> - Catalan numbers</span></span>
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<span id="cb1-17"><a href="#cb1-17" aria-hidden="true" tabindex="-1"></a><span class="an">editor:</span><span class="co"> source</span></span>
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<span id="cb1-18"><a href="#cb1-18" aria-hidden="true" tabindex="-1"></a><span class="an">draft:</span><span class="co"> false</span></span>

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"text": "Suma de los recíprocos de los números tetraédricos\n\n\n\nMath\n\n\nSeries\n\n\nEspecial numbers\n\n\n\nSumas de la serie de los recíprocos de los números tetraédricos\n\n\n\nEnrique Pérez Herrero\n\n\nJan 8, 2026\n\n\n\n\n\n\n\n\n\n\n\n\nEuclinacci\n\n\n\nR\n\n\nFibonacci\n\n\nEuclid\n\n\nMath\n\n\n\nLa sucesión de Fibonacci y el Algoritmo de Euclides\n\n\n\nEnrique Pérez Herrero\n\n\nJun 11, 2025\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nA004782(n) = A014847(n) + 1\n\n\n\nMath\n\n\nOEIS\n\n\nCatalan’s numbers\n\n\nBinomial\n\n\n\nRelación entre dos secuencias asociadas con los números de Catalan\n\n\n\nEnrique Pérez Herrero\n\n\nMay 18, 2024\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nConvert a NumPy array to LaTeX\n\n\n\nPython\n\n\nNumpy\n\n\nLatex\n\n\nDeterminant\n\n\n\nLaTeX matrices and determinants from NumPy arrays\n\n\n\nEnrique Pérez Herrero\n\n\nAug 2, 2023\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nBlog Logo Sticker\n\n\n\nR\n\n\n\nBlog logo with hexSticker\n\n\n\nEnrique Pérez Herrero\n\n\nAug 1, 2023\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nConfusion Matrix in R\n\n\n\nR\n\n\nMachine Learning\n\n\n\nPlotting the Confusion Matrix with ggplot in R\n\n\n\nEnrique Pérez Herrero\n\n\nMar 9, 2022\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nMax Determinant\n\n\n\nMath\n\n\nLinear Algebra\n\n\nDeterminant\n\n\n\nDeterminants of special square matrices with elements defined as the Maximum or Minimum of the Indices.\n\n\n\nEnrique Pérez Herrero\n\n\nMar 5, 2022\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nBINOMIAL MATRIX (I)\n\n\n\nmath\n\n\nmatrices\n\n\ncombinatorics\n\n\n\nA matrix related to Pascal’s triangle, also known as Tartaglia’s triangle\n\n\n\nEnrique Pérez Herrero\n\n\nSep 22, 2009\n\n\n\n\n\n\n\n\nNo matching items"
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"text": "Suma de los recíprocos de los números tetraédricos\n\n\n\nMath\n\n\nSeries\n\n\nEspecial numbers\n\n\n\nSumas de la serie de los recíprocos de los números tetraédricos\n\n\n\nEnrique Pérez Herrero\n\n\nJan 8, 2026\n\n\n\n\n\n\n\n\n\n\n\n\nEuclinacci\n\n\n\nR\n\n\nFibonacci\n\n\nEuclid\n\n\nMath\n\n\n\nLa sucesión de Fibonacci y el Algoritmo de Euclides\n\n\n\nEnrique Pérez Herrero\n\n\nJun 11, 2025\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nA004782(n) = A014847(n) + 1\n\n\n\nMath\n\n\nOEIS\n\n\nCatalan numbers\n\n\nBinomial\n\n\n\nRelación entre dos secuencias asociadas con los números de Catalan\n\n\n\nEnrique Pérez Herrero\n\n\nMay 18, 2024\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nConvert a NumPy array to LaTeX\n\n\n\nPython\n\n\nNumpy\n\n\nLatex\n\n\nDeterminant\n\n\n\nLaTeX matrices and determinants from NumPy arrays\n\n\n\nEnrique Pérez Herrero\n\n\nAug 2, 2023\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nBlog Logo Sticker\n\n\n\nR\n\n\n\nBlog logo with hexSticker\n\n\n\nEnrique Pérez Herrero\n\n\nAug 1, 2023\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nConfusion Matrix in R\n\n\n\nR\n\n\nMachine Learning\n\n\n\nPlotting the Confusion Matrix with ggplot in R\n\n\n\nEnrique Pérez Herrero\n\n\nMar 9, 2022\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nMax Determinant\n\n\n\nMath\n\n\nLinear Algebra\n\n\nDeterminant\n\n\n\nDeterminants of special square matrices with elements defined as the Maximum or Minimum of the Indices.\n\n\n\nEnrique Pérez Herrero\n\n\nMar 5, 2022\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nBINOMIAL MATRIX (I)\n\n\n\nmath\n\n\nmatrices\n\n\ncombinatorics\n\n\n\nA matrix related to Pascal’s triangle, also known as Tartaglia’s triangle\n\n\n\nEnrique Pérez Herrero\n\n\nSep 22, 2009\n\n\n\n\n\n\n\n\nNo matching items"
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posts/12012026-binomial-matrix-i/binomial_1.bib

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url = {https://www.rijksmuseum.nl/nl/collectie/RP-P-1909-4459},
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commonsurl = {https://commons.wikimedia.org/wiki/File:Portret_van_Niccolo_Tartaglia_Nicolavs_Tartaglia_Brixianvs_(titel_op_object)_Portretten_van_beroemde_Europese_geleerden_(serietitel)_Virorum_doctorum_de_Disciplinis_benemerentium_effigies_(serietitel),_RP-P-1909-4459.jpg}
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}
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@misc{OEIS_A000027,
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author = {N. J. A. Sloane},
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title = {The positive integers. Also called the natural numbers, the whole numbers or the counting numbers, but these terms are ambiguous.},
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howpublished = {\url{https://oeis.org/A000027}},
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note = {The On-Line Encyclopedia of Integer Sequences (OEIS)},
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year = {1991},
49+
month = {4},
50+
day = {30}
51+
}
52+
53+
@misc{OEIS_A000096,
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author = {N. J. A. Sloane},
55+
title = {a(n) = n*(n+3)/2.},
56+
howpublished = {\url{https://oeis.org/A000096}},
57+
note = {The On-Line Encyclopedia of Integer Sequences (OEIS)},
58+
year = {1991},
59+
month = {4},
60+
day = {30}
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}
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@misc{OEIS_A062748,
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author = {Wolfdieter Lang},
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title = {Fourth column (r=3) of FS(3) staircase array A062745.},
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howpublished = {\url{https://oeis.org/A062748}},
67+
note = {The On-Line Encyclopedia of Integer Sequences (OEIS)},
68+
year = {2003},
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month = {5},
70+
day = {16}
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}
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@misc{OEIS_A063258,
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author = {Wolfdieter Lang},
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title = {a(n) = binomial(n+5,4) - 1.},
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howpublished = {\url{https://oeis.org/A063258}},
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note = {The On-Line Encyclopedia of Integer Sequences (OEIS)},
78+
year = {2003},
79+
month = {5},
80+
day = {16}
81+
}
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@misc{OEIS_A062988,
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author = {Wolfdieter Lang},
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title = {a(n) = binomial(n+6,5) - 1.},
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howpublished = {\url{https://oeis.org/A062988}},
87+
note = {The On-Line Encyclopedia of Integer Sequences (OEIS)},
88+
year = {2003},
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month = {5},
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day = {16}
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}
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@misc{OEIS_A124089,
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author = {Zerinvary Lajos},
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title = {a(n) = binomial(n,6)-1.},
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howpublished = {\url{https://oeis.org/A124089}},
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note = {The On-Line Encyclopedia of Integer Sequences (OEIS)},
98+
year = {2006},
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month = {12},
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day = {6}
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}
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@misc{OEIS_A124090,
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author = {Zerinvary Lajos},
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title = {C(n,7)-1.},
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howpublished = {\url{https://oeis.org/A124090}},
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note = {The On-Line Encyclopedia of Integer Sequences (OEIS)},
108+
year = {2006},
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month = {12},
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day = {6}
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}
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@misc{OEIS_A165618,
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author = {Enrique Pérez Herrero},
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title = {a(n) = binomial(n+8,8) - 1.},
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howpublished = {\url{https://oeis.org/A165618}},
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note = {The On-Line Encyclopedia of Integer Sequences (OEIS)},
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year = {2010},
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month = {6},
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day = {1}
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}
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@misc{OEIS_A035927,
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author = {N. J. A. Sloane},
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title = {One less than number of n-multisets chosen from a 10-set.},
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howpublished = {\url{https://oeis.org/A035927}},
127+
note = {The On-Line Encyclopedia of Integer Sequences (OEIS)},
128+
year = {1999},
129+
month = {12},
130+
day = {11}
131+
}

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