cp's OEIS Frontend

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.

A192793 Molecular topological indices of the crossed prism graphs.

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%I A192793 #21 Aug 28 2025 00:04:29
%S A192793 108,360,900,1872,3420,5688,8820,12960,18252,24840,32868,42480,53820,
%T A192793 67032,82260,99648,119340,141480,166212,193680,224028,257400,293940,
%U A192793 333792,377100,424008,474660,529200,587772,650520,717588,789120,865260,946152,1031940,1122768
%N A192793 Molecular topological indices of the crossed prism graphs.
%H A192793 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CrossedPrismGraph.html">Crossed Prism Graph</a>.
%H A192793 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MolecularTopologicalIndex.html">Molecular Topological Index</a>.
%H A192793 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A192793 a(n) = 12*n*(2*n^2 + 7).
%F A192793 G.f.: 36*x*(3*x^2-2*x+3)/(x-1)^4. - _Colin Barker_, Nov 04 2012
%F A192793 From _Elmo R. Oliveira_, Aug 26 2025: (Start)
%F A192793 E.g.f.: 12*x*(9 + 6*x + 2*x^2)*exp(x).
%F A192793 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 4.
%F A192793 a(n) = 36*A047667(n). (End)
%o A192793 (PARI) my(x='x+O('x^37)); Vec(36*x*(3-2*x+3*x^2)/(x-1)^4) \\ _Elmo R. Oliveira_, Aug 26 2025
%Y A192793 Cf. A047667.
%K A192793 nonn,easy,changed
%O A192793 1,1
%A A192793 _Eric W. Weisstein_, Jul 10 2011
%E A192793 More terms from _Elmo R. Oliveira_, Aug 26 2025