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 A126274 #32 Sep 08 2022 08:45:29
%S A126274 1,15,72,220,525,1071,1960,3312,5265,7975,11616,16380,22477,30135,
%T A126274 39600,51136,65025,81567,101080,123900,150381,180895,215832,255600,
%U A126274 300625,351351,408240,471772,542445,620775,707296,802560,907137,1021615
%N A126274 Partial sum of A005915.
%H A126274 Vincenzo Librandi, <a href="/A126274/b126274.txt">Table of n, a(n) for n = 0..1000</a>
%H A126274 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A126274 a(n) = Sum_{i=0..n} (i + 1)*(3*i^2 + 3*i + 1).
%F A126274 a(n) = (3*n^4 + 6*n^3 + 3*n^2)/4 + 2*n^3 + 5*n^2 + 4*n + 1.
%F A126274 a(n) = (1/4)*(n + 1)^2*(n + 2)*(3*n + 2). - _N-E. Fahssi_, May 03 2008
%F A126274 G.f.: (1 + 10 x + 7 x^2)/(1 - x)^5. - _N-E. Fahssi_, May 03 2008
%F A126274 a(n) = (n+1)*A000578(n+1) - Sum_{i=0..n} A000578(i). - _Bruno Berselli_, Apr 24 2010
%F A126274 a(n) = Sum_{i=1..n} Sum_{j=1..n} Sum_{k=1..n} max(i,j,k). - _Enrique Pérez Herrero_, Feb 26 2013
%F A126274 a(n) = A000217(n+1)*A000326(n+1). - _Bruno Berselli_, Dec 13 2013
%F A126274 E.g.f.: (3*x^4 + 32*x^3 + 86*x^2 + 56*x + 4)*exp(x)/4. - _G. C. Greubel_, Oct 23 2018
%p A126274 seq(coeff(series((1+10*x+7*x^2)/(1-x)^5,x,n+1), x, n), n = 0 .. 35); # _Muniru A Asiru_, Oct 24 2018
%t A126274 Table[(3*n^4 + 14*n^3 + 23*n^2 + 16*n + 4)/4, {n,0,10}] (* _G. C. Greubel_, Oct 23 2018 *)
%t A126274 LinearRecurrence[{5,-10,10,-5,1},{1,15,72,220,525},40] (* _Harvey P. Dale_, Mar 31 2022 *)
%o A126274 (Magma) [1/4*(n + 1)^2*(n + 2)*(3*n + 2): n in [0..30]]; // _Vincenzo Librandi_, May 16 2011
%o A126274 (PARI) vector(30, n, n--; (3*n^4+14*n^3+23*n^2+16*n+4)/4) \\ _G. C. Greubel_, Oct 23 2018
%o A126274 (GAP) List([0..35],n->(1/4)*(n+1)^2*(n+2)*(3*n+2)); # _Muniru A Asiru_, Oct 24 2018
%Y A126274 Cf. A000217, A000326, A000578, A005915.
%K A126274 nonn,easy
%O A126274 0,2
%A A126274 _Jonathan Vos Post_, Mar 09 2007
%E A126274 Corrected and extended by _Vincenzo Librandi_, May 16 2011