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 A097791 #9 Aug 29 2024 21:13:06 %S A097791 1,10,65,360,1870,9476,47590,238280,1191895,5960190,29801951, %T A097791 149011120,745057420,3725289480,18626450460,93132256176,465661285725, %U A097791 2328306434610,11641532180365,58207660910680,291038304564026 %N A097791 a(n)=5a(n-1)+C(n+4,4),n>0, a(0)=1. %C A097791 Partial sums of A097790. %H A097791 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (10,-35,60,-55,26,-5). %F A097791 G.f.: 1/((1-5*x)*(1-x)^5). %F A097791 a(n) = 5^(n+5)/1024-(32*n^4+480*n^3+2680*n^2+6660*n+6303)/3072. %F A097791 a(n) = Sum_{k=0..n} binomial(n+5, k+5)*4^k. %K A097791 easy,nonn %O A097791 0,2 %A A097791 _Paul Barry_, Aug 24 2004