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 A318054 #30 Aug 23 2022 11:17:15
%S A318054 0,2,7,17,35,65,112,182,282,420,605,847,1157,1547,2030,2620,3332,4182,
%T A318054 5187,6365,7735,9317,11132,13202,15550,18200,21177,24507,28217,32335,
%U A318054 36890,41912,47432,53482,60095,67305,75147,83657,92872,102830,113570,125132,137557
%N A318054 a(n) = n*(n + 1)*(n^2 + n + 22)/24.
%H A318054 Andrew Howroyd, <a href="/A318054/b318054.txt">Table of n, a(n) for n = 0..1000</a>
%H A318054 Tenner, Bridget Eileen <a href="https://doi.org/10.1007/s10801-017-0752-8">Reduced word manipulation: patterns and enumeration</a>, J. Algebr. Comb. 46, No. 1, 189-217 (2017), w in S_n(231): l(w)=4.
%H A318054 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A318054 G.f.: x*(2*x^2-3*x+2)/(1-x)^5.
%F A318054 a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).
%F A318054 a(n) = (1/6)*Sum_{i=1..n} (n-i)*((n-i)^2+11), for n >= 1.
%e A318054 a(1) = 2; a(2)= 5+2 = 7; a(3) = 10+5+2 = 17; a(4) = 18+10+5+2 = 35; a(5) = 30+18+10+5+2 = 65; a(6) = 47+30+18+10+5+2 = 112.
%p A318054 seq(coeff(series(x*(2*x^2-3*x+2)/(1-x)^5, x,n+1),x,n),n=0..30); # _Muniru A Asiru_, Aug 15 2018
%o A318054 (GAP) List([0..30],n->n*(n+1)*(n^2+n+22)/24); # _Muniru A Asiru_, Aug 15 2018
%o A318054 (PARI) a(n) = n*(n+1)*(n^2+n+22)/24; \\ _Michel Marcus_, Aug 17 2018
%Y A318054 Partial sums of A177787.
%Y A318054 Cf. A089071, A022856, A152948.
%K A318054 nonn,easy
%O A318054 0,2
%A A318054 _Luce ETIENNE_, Aug 14 2018