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.

A118805 G.f.: 1 = Sum_{n>=0} a(n)*x^n*Product_{k=1..n} (1-k*x)^2.

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%I A118805 #12 Jan 09 2021 10:53:29
%S A118805 1,2,11,106,1506,28736,694719,20452602,712529978,28746803264,
%T A118805 1320665162746,68164569542628,3909330000805268,246855506805662816,
%U A118805 17030177827550184395,1275139722566251183642,103032621304705343054010
%N A118805 G.f.: 1 = Sum_{n>=0} a(n)*x^n*Product_{k=1..n} (1-k*x)^2.
%H A118805 Vaclav Kotesovec, <a href="/A118805/b118805.txt">Table of n, a(n) for n = 0..32</a>
%e A118805 1 = 1*(1-x)^2 + 2*x*((1-x)(1-2x))^2 + 11*x^2*((1-x)(1-2x)(1-3x))^2 + ... + a(n)*x^n*((1-x)(1-2x)(1-3x)...(1-n*x))^2 + ...
%o A118805 (PARI) {a(n)=if(n==0, 1, polcoeff(1-sum(k=0, n-1, a(k)*x^k*prod(j=1, k+1, 1-j*x+x*O(x^n))^2), n))}
%Y A118805 Cf. A118804 (variant).
%K A118805 nonn
%O A118805 0,2
%A A118805 _Paul D. Hanna_, May 02 2006