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 A192491 #30 Feb 16 2025 08:33:15 %S A192491 24,240,864,2112,4200,7344,11760,17664,25272,34800,46464,60480,77064, %T A192491 96432,118800,144384,173400,206064,242592,283200,328104,377520,431664, %U A192491 490752,555000,624624,699840,780864,867912,961200 %N A192491 Molecular topological indices of the complete tripartite graphs K_{n,n,n}. %H A192491 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CompleteTripartiteGraph.html">Complete Tripartite Graph</a> %H A192491 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MolecularTopologicalIndex.html">Molecular Topological Index</a> %H A192491 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A192491 a(n) = 12*n^2*(3*n-1). %F A192491 a(n) = 24*A050509(n). %F A192491 G.f.: 24*x*(2*x^2+6*x+1)/(x-1)^4. [_Colin Barker_, Nov 04 2012] %F A192491 From _Bruce J. Nicholson_, Sep 18 2019: (Start) %F A192491 a(n) = 24*n * A000326(n). %F A192491 a(n) = 4*n^2 * A017233(n). %F A192491 a(n) = 24*(n^3 + A000292(n-2) + A000330(n-2)). %F A192491 a(n) = 24*(n^4 - (A008585(n) * A000330(n-1))). %F A192491 a(n) = 6*A046092(n) + (A008594(n+1) * A140676(n-1)). (End) %Y A192491 Cf. A000326, A000330, A000292, A017233, A008594, A140676, A046092. %K A192491 nonn,easy %O A192491 1,1 %A A192491 _Eric W. Weisstein_, Jul 10 2011