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 A083586 #14 Apr 12 2025 10:27:54
%S A083586 0,1,5,22,96,419,1819,7824,33302,140317,585873,2427146,9989068,
%T A083586 40886295,166600967,676368388,2737758594,11055063953,44553867901,
%U A083586 179280877950,720513441080,2892804682891,11605214879475,46528078138232
%N A083586 Binomial transform of A083580.
%H A083586 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (11,-43,69,-36).
%F A083586 a(n) = 2*4^n/3 -5/12 -n*3^(n-1)/2 -3^n/4.
%F A083586 O.g.f.: x*(1-6*x+10*x^2)/((-1+x)(-1+4*x)(-1+3*x)^2). - _R. J. Mathar_, Apr 02 2008
%F A083586 E.g.f.: exp(x)*(8*exp(3*x) - 3*exp(2*x)*(1 + 2*x) - 5)/12. - _Stefano Spezia_, Apr 12 2025
%t A083586 LinearRecurrence[{11,-43,69,-36},{0,1,5,22},30] (* _Harvey P. Dale_, Jul 19 2015 *)
%Y A083586 Cf. A083580.
%K A083586 easy,nonn
%O A083586 0,3
%A A083586 _Paul Barry_, May 01 2003