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.

A182967 E.g.f.: A(x) = Product_{n>=1} (1 + 4*x^n/n)^n.

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%I A182967 #9 Oct 07 2020 08:15:58
%S A182967 1,4,8,120,576,6240,75840,772800,11585280,163914240,2694558720,
%T A182967 45947489280,876665180160,17329568256000,364677585592320,
%U A182967 8306018798837760,195321474697789440,4892032896606535680
%N A182967 E.g.f.: A(x) = Product_{n>=1} (1 + 4*x^n/n)^n.
%H A182967 Vaclav Kotesovec, <a href="/A182967/b182967.txt">Table of n, a(n) for n = 0..436</a>
%e A182967 E.g.f.: A(x) = 1 + 4*x + 8*x^2/2! + 120*x^3/3! + 576*x^4/4! +...
%e A182967 A(x) = (1+4x)*(1+4x^2/2)^2*(1+4x^3/3)^3*(1+4x^4/4)^4*(1+4x^5/5)^5*...
%t A182967 With[{nn=20},CoefficientList[Series[Product[(1+4 x^n/n)^n,{n,nn}],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Apr 11 2020 *)
%o A182967 (PARI) {a(n,k=4)=n!*polcoeff(prod(m=1,n,(1+k*x^m/m+x*O(x^n))^m),n)}
%Y A182967 Cf. A181541, A182965, A182966, A007838.
%K A182967 nonn
%O A182967 0,2
%A A182967 _Paul D. Hanna_, Dec 19 2010