update num dem 01022026

Author: EnriquePH

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@@ -217,41 +217,7 @@ <h1 class="title">Blog</h1>
 
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-Numerators and Denominators Involving Tetrahedral Numbers
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-Characterization of Partial Sums of Reciprocal Tetrahedral Numbers
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-January 26, 2026
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@@ -317,7 +317,7 @@ <h2 data-number="2" data-anchor-id="números-tetraédricos"><span class="header-
 <h2 data-number="3" data-anchor-id="la-serie-de-los-recíprocos-de-números-tetraédricos"><span class="header-section-number">3</span> LA SERIE DE LOS RECÍPROCOS DE NÚMEROS TETRAÉDRICOS</h2>
 <p>Nos interesa estudiar la suma parcial</p>
 <p><span id="eq-tet002"><span class="math display">
-S(n) = \sum_{k=1}^{n} \frac{1}{T_k}
+S(n) = \sum_{k=1}^{n} \frac{1}{T_k} = \sum_{k=1}^{n} {\binom{k+2}{3}}^{-1}
 \tag{2}</span></span></p>
 <p>Sustituyendo la expresión explícita de <span class="math inline">T_k</span>, obtenemos</p>
 <p><span id="eq-tet003"><span class="math display">
@@ -1129,7 +1129,7 @@ <h2 data-number="7" data-anchor-id="suma-infinita"><span class="header-section-n
 <span id="cb1-45"><a href="#cb1-45" aria-hidden="true" tabindex="-1"></a>Nos interesa estudiar la suma parcial</span>
 <span id="cb1-46"><a href="#cb1-46" aria-hidden="true" tabindex="-1"></a></span>
 <span id="cb1-47"><a href="#cb1-47" aria-hidden="true" tabindex="-1"></a>$$</span>
-<span id="cb1-48"><a href="#cb1-48" aria-hidden="true" tabindex="-1"></a>S(n) = \sum_{k=1}^{n} \frac{1}{T_k}</span>
+<span id="cb1-48"><a href="#cb1-48" aria-hidden="true" tabindex="-1"></a>S(n) = \sum_{k=1}^{n} \frac{1}{T_k} = \sum_{k=1}^{n} {\binom{k+2}{3}}^{-1}</span>
 <span id="cb1-49"><a href="#cb1-49" aria-hidden="true" tabindex="-1"></a>$${#eq-tet002}</span>
 <span id="cb1-50"><a href="#cb1-50" aria-hidden="true" tabindex="-1"></a></span>
 <span id="cb1-51"><a href="#cb1-51" aria-hidden="true" tabindex="-1"></a>Sustituyendo la expresión explícita de $T_k$, obtenemos</span>