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 A097789 #6 Jun 13 2015 00:51:30 %S A097789 1,9,51,239,1026,4230,17130,68850,275895,1104295,4418181,17674089, %T A097789 70698176,282795084,1131183396,4524737460,18098954685,72395824725, %U A097789 289583306215,1158333233715,4633332945486,18533331794594,74133327193326 %N A097789 a(n)=4a(n-1)+C(n+4,4),n>0, a(0)=1. %C A097789 Partial sums of A097788. %H A097789 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (9,-30,50,-45,21,-4). %F A097789 G.f. : 1/((1-4x)(1-x)^5); a(n)=4^(n + 5)/243-(27n^4+414n^3+2385n^2+6198n+6248)/1944; a(n)=sum{k=0..n, binomial(n+5, k+5)3^k}. %K A097789 easy,nonn %O A097789 0,2 %A A097789 _Paul Barry_, Aug 24 2004