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 A059600 #9 Jul 09 2025 03:55:52
%S A059600 1,14,85,344,1086,2892,6798,14520,28743,53482,94523,159952,260780,
%T A059600 411672,631788,945744,1384701,1987590,2802481,3888104,5315530,7170020,
%U A059600 9553050,12584520,16405155,21179106,27096759
%N A059600 Expansion of (1+6*x+x^2)/(1-x)^8.
%C A059600 a(n)= A038164(2*n).
%H A059600 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8, -28, 56, -70, 56, -28, 8, -1).
%F A059600 a(n)= binomial(n+5, 5)*(4*n^2+24*n+21)/21.
%F A059600 G.f.: (1+6*x+x^2)/(1-x)^8.
%t A059600 CoefficientList[Series[(1+6x+x^2)/(1-x)^8,{x,0,30}],x] (* or *) LinearRecurrence[ {8,-28,56,-70,56,-28,8,-1},{1,14,85,344,1086,2892,6798,14520},30] (* _Harvey P. Dale_, Aug 18 2024 *)
%K A059600 nonn,easy
%O A059600 0,2
%A A059600 _Wolfdieter Lang_, Feb 02 2001