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 A220892 #25 Dec 22 2021 10:19:53
%S A220892 1,14,91,364,1085,2666,5719,11096,19929,33670,54131,83524,124501,
%T A220892 180194,254255,350896,474929,631806,827659,1069340,1364461,1721434,
%U A220892 2149511,2658824,3260425,3966326,4789539,5744116,6845189,8109010,9552991,11195744,13057121,15158254,17521595,20170956,23131549
%N A220892 G.f.: (1+8*x+22*x^2+8*x^3+x^4)/(1-x)^6.
%H A220892 Harvey P. Dale, <a href="/A220892/b220892.txt">Table of n, a(n) for n = 0..1000</a>
%H A220892 M. Hering and B. J. Howard, <a href="https://arxiv.org/abs/1211.3941">The ring of evenly weighted points on the line</a>, arXiv:1211.3941 [math.AG], 2012-2014; See example 3.8.
%H A220892 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A220892 a(n) = (n+1)*(n^2+3*n+3)*(n^2+n+1)/3. [_Colin Barker_, Jan 03 2013]
%F A220892 The formula is simpler if the offset is 1 rather than 0. For a(n) = b*(1+b^2+b^4)/3, b >= 1. - _N. J. A. Sloane_, Nov 12 2019
%F A220892 E.g.f.: exp(x)*(3 + 39*x + 96*x^2 + 66*x^3 + 15*x^4 + x^5)/3. - _Stefano Spezia_, Dec 22 2021
%t A220892 CoefficientList[Series[(1+8x+22x^2+8x^3+x^4)/(1-x)^6,{x,0,40}],x] (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{1,14,91,364,1085,2666},40] (* _Harvey P. Dale_, Jan 11 2020 *)
%o A220892 (PARI) a(n)=n*(9+13*n+11*n^2+5*n^3+n^4)/3+1 \\ _Charles R Greathouse IV_, Jan 03 2013
%Y A220892 Cf. A220893.
%K A220892 nonn,easy
%O A220892 0,2
%A A220892 _N. J. A. Sloane_, Dec 30 2012