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 A079414 #11 Sep 09 2022 03:51:34
%S A079414 1,52,297,976,2425,5076,9457,16192,26001,39700,58201,82512,113737,
%T A079414 153076,201825,261376,333217,418932,520201,638800,776601,935572,
%U A079414 1117777,1325376,1560625,1825876,2123577,2456272,2826601,3237300
%N A079414 a(n) = 4*n^4 - 3*n^2.
%H A079414 G. C. Greubel, <a href="/A079414/b079414.txt">Table of n, a(n) for n = 1..10000</a>
%H A079414 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A079414 a(n) = n *Sum_{k=0..n-1} (-1)^k * (2*n-2*k-1)^3.
%F A079414 a(n+1) = (n+1) * ((2n+1)^3 - a(n)/n).
%F A079414 From _G. C. Greubel_, Jan 19 2019: (Start)
%F A079414 G.f.: x*(1 +47*x +47*x^2 +x^3)/(1-x)^5.
%F A079414 E.g.f.: x*(1 +25*x +24*x^2 +4*x^3)*exp(x). (End)
%t A079414 Table[4*n^4-3*n^2, {n,1,40}] (* _G. C. Greubel_, Jan 19 2019 *)
%o A079414 (PARI) vector(40, n, 4*n^4-3*n^2) \\ _G. C. Greubel_, Jan 19 2019
%o A079414 (Magma) [4*n^4-3*n^2: n in [1..40]]; // _G. C. Greubel_, Jan 19 2019
%o A079414 (Sage) [4*n^4-3*n^2 for n in (1..40)] # _G. C. Greubel_, Jan 19 2019
%o A079414 (GAP) List([1..40], n -> 4*n^4-3*n^2); # _G. C. Greubel_, Jan 19 2019
%Y A079414 Cf. A193250 (first differences).
%K A079414 nonn,easy
%O A079414 1,2
%A A079414 Kit Vongmahadlek (kit119(AT)yahoo.com), Jan 07 2003
%E A079414 Edited by _Don Reble_, Nov 02 2005