This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A296057 #23 Feb 16 2025 08:33:52 %S A296057 1,1,1,1,1,1,1,1,11,143,13,13,17,19,323,323,437,437,23,1,667,20677, %T A296057 899,31,899,33263,33263,33263,47027,2022161,65231,65231,3065857, %U A296057 3065857,3065857,3065857,4391633,4391633,4391633,4391633,6319667,385499687,8965109,8965109 %N A296057 Denominators of Harary index for the n-permutation star graph. %H A296057 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HararyIndex.html">Harary Index</a> %H A296057 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PermutationStarGraph.html">Permutation Star Graph</a> %t A296057 A007799[n_, i_] := Sum[Binomial[n - 1, k] Binomial[n - 1 - k, t] StirlingS1[k + 1, i - k + 1 - 2 t] (-1)^(i + 2 - t), {k, 0, Min[n - 1, i + 1]}, {t, Max[0, Ceiling[(i - 2 k)/2]], Min[n - 1 - k, Floor[(i + 1 - k)/2]]}]; %t A296057 Table[n! Sum[A007799[n, k]/k, {k, Floor[3 (n - 1)/2]}]/2, {n, 20}] // Denominator (* _Eric W. Weisstein_, Dec 09 2017 *) %Y A296057 Cf. A296190 (numerators), A007799, A284039. %K A296057 nonn,frac %O A296057 1,9 %A A296057 _Andrew Howroyd_, Dec 09 2017