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 A099111 #14 Jan 17 2024 11:41:33
%S A099111 1,13,112,798,5103,30471,173734,958936,5170165,27396369,143295516,
%T A099111 742128114,3814432987,19490910907,99140278258,502476527532,
%U A099111 2539579950369,12806979393285,64472086878760,324111808432390
%N A099111 Expansion of 1 / ((1+x)*(1-2*x)*(1-3*x)*(1-4*x)*(1-5*x)).
%H A099111 Vincenzo Librandi, <a href="/A099111/b099111.txt">Table of n, a(n) for n = 0..1000</a>
%H A099111 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (13, -57, 83, 34, -120).
%F A099111 a(n) = (1/360)*(6250*5^n - 9216*4^n + 3645*3^n - 320*2^n + (-1)^n).
%t A099111 CoefficientList[Series[1/((1+x)(1-2x)(1-3x)(1-4x)(1-5x)),{x,0,20}],x] (* or *) LinearRecurrence[{13,-57,83,34,-120},{1,13,112,798,5103},20] (* _Harvey P. Dale_, Jan 17 2024 *)
%o A099111 (Magma) [(1/360)*(6250*5^n - 9216*4^n + 3645*3^n - 320*2^n + (-1)^n): n in [0..20]]; // _Vincenzo Librandi_, Oct 11 2011
%Y A099111 First differences are in A004058. Pairwise sums are in A025211.
%K A099111 nonn,easy
%O A099111 0,2
%A A099111 _Ralf Stephan_, Sep 28 2004