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.

A111782 Ninth column (m=8) of unsigned triangle A111595.

This page as a plain text file.
%I A111782 #5 Nov 17 2022 11:26:00
%S A111782 1,72,3285,122760,4138695,132046200,4096887795,125691766200,
%T A111782 3854667766950,119027264756400,3719190784859550,118004440103550000,
%U A111782 3811105656937829250,125500234402721178000,4218813452749267622250
%N A111782 Ninth column (m=8) of unsigned triangle A111595.
%F A111782 E.g.f. (1/sqrt(1-x^2))*((x/(1-x))^8)/8!.
%F A111782 a(n)=(n!/8!)*sum(binomial(2*k, k)*binomial(n-2*k-1, 7)/(4^k), k=0..floor((n-8)/2)), n>=8.
%t A111782 Drop[With[{nn=30},CoefficientList[Series[1/Sqrt[1-x^2] (x/(1-x))^8/8!,{x,0,nn}],x] Range[ 0,nn]!],8] (* _Harvey P. Dale_, Nov 17 2022 *)
%K A111782 nonn,easy
%O A111782 8,2
%A A111782 _Wolfdieter Lang_, Aug 23 2005