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 A059599 #14 Apr 16 2023 20:45:11
%S A059599 3,19,69,189,434,882,1638,2838,4653,7293,11011,16107,22932,31892,
%T A059599 43452,58140,76551,99351,127281,161161,201894,250470,307970,375570,
%U A059599 454545,546273,652239,774039,913384,1072104,1252152,1455608,1684683,1941723
%N A059599 Expansion of (3+x)/(1-x)^6.
%H A059599 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A059599 a(n) = binomial(n+4, 4)*(15+4*n)/5.
%F A059599 G.f.: (3+x)/(1-x)^6.
%F A059599 a(-n-4) = -A034263(n). - _Bruno Berselli_, Aug 23 2011
%F A059599 a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6). - _Wesley Ivan Hurt_, Apr 16 2023
%t A059599 f[n_]:=Binomial[n+4,4]*(15+4*n)/5; Table[f[n],{n,0,5!}] (* _Vladimir Joseph Stephan Orlovsky_, May 30 2010 *)
%Y A059599 Cf. A034263.
%K A059599 nonn,easy
%O A059599 0,1
%A A059599 _Wolfdieter Lang_, Feb 02 2001
%E A059599 More terms from _Vladimir Joseph Stephan Orlovsky_, May 30 2010