cp's OEIS Frontend

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.

A244762 a(n) = (5*3^n-2*n-1)/4.

This page as a plain text file.
%I A244762 #19 Aug 28 2023 14:37:14
%S A244762 1,3,10,32,99,301,908,2730,8197,24599,73806,221428,664295,1992897,
%T A244762 5978704,17936126,53808393,161425195,484275602,1452826824,4358480491,
%U A244762 13075441493,39226324500,117678973522,353036920589,1059110761791,3177332285398,9531996856220,28595990568687,85787971706089,257363915118296
%N A244762 a(n) = (5*3^n-2*n-1)/4.
%H A244762 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (5,-7,3).
%F A244762 a(n+1) = 3*a(n) + n.
%F A244762 G.f.: (1-2*x+2*x^2) / ((1-3*x)*(1-x)^2).
%F A244762 E.g.f.: exp(x)*(5*exp(2*x) - 2*x - 1)/4. - _Stefano Spezia_, Aug 28 2023
%t A244762 CoefficientList[Series[(1-2*x+2*x^2)/((1-3*x)*(1-x)^2), {x, 0, 30}], x] (* _Vaclav Kotesovec_, Jul 06 2014 *)
%Y A244762 Cf. A060816 (first differences).
%Y A244762 Cf. A108765, A164039, A047926, A000340.
%K A244762 nonn,easy
%O A244762 0,2
%A A244762 _Franklin T. Adams-Watters_, Jul 06 2014