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 A192832 #21 Feb 16 2025 08:33:15
%S A192832 0,48,576,2880,9600,25200,56448,112896,207360,356400,580800,906048,
%T A192832 1362816,1987440,2822400,3916800,5326848,7116336,9357120,12129600,
%U A192832 15523200,19636848,24579456,30470400,37440000,45630000,55194048,66298176,79121280,93855600
%N A192832 Molecular topological indices of the lattice graphs.
%C A192832 Lattice graphs are defined for n>=2; extended to n=1 using closed form.
%H A192832 G. C. Greubel, <a href="/A192832/b192832.txt">Table of n, a(n) for n = 1..1000</a>
%H A192832 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LatticeGraph.html">Lattice Graph</a>
%H A192832 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MolecularTopologicalIndex.html">Molecular Topological Index</a>
%H A192832 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A192832 a(n) = 4*n^2*(n+1)*(n-1)^2.
%F A192832 a(n) = 48*A004302(n).
%F A192832 G.f.: 48*x^2*(1+6*x+3*x^2)/(1-x)^6. - _Colin Barker_, Aug 07 2012
%F A192832 E.g.f.: 4*x^2*(6 +18*x +9*x^2 +x^3)*exp(x). - _G. C. Greubel_, Jan 04 2019
%t A192832 Table[4*n^2*(n+1)*(n-1)^2, {n,1,30}] (* _G. C. Greubel_, Jan 04 2019 *)
%o A192832 (PARI) vector(30, n, 4*n^2*(n+1)*(n-1)^2) \\ _G. C. Greubel_, Jan 04 2019
%o A192832 (Magma) [4*n^2*(n+1)*(n-1)^2: n in [1..30]]; // _G. C. Greubel_, Jan 04 2019
%o A192832 (Sage) [4*n^2*(n+1)*(n-1)^2 for n in (1..30)] # _G. C. Greubel_, Jan 04 2019
%o A192832 (GAP) List([0..30], n -> 4*n^2*(n+1)*(n-1)^2); # _G. C. Greubel_, Jan 04 2019
%K A192832 nonn,easy
%O A192832 1,2
%A A192832 _Eric W. Weisstein_, Jul 11 2011