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.

A255969 E.g.f.: 1/Product_{k>=1} (1-x^k)^(x^k).

This page as a plain text file.
%I A255969 #8 Mar 13 2015 12:15:31
%S A255969 1,0,2,3,44,90,2394,6720,202544,1041768,27369000,170418600,5835999432,
%T A255969 41711464080,1489935696144,14980499777880,519279726915840,
%U A255969 5837621201012160,232228922844775104,2946339663605953920,122979308145781345920,1869847203939341074560
%N A255969 E.g.f.: 1/Product_{k>=1} (1-x^k)^(x^k).
%H A255969 Vaclav Kotesovec, <a href="/A255969/b255969.txt">Table of n, a(n) for n = 0..440</a>
%H A255969 Vaclav Kotesovec, <a href="/A034691/a034691_1.pdf">Asymptotics of sequence A034691</a>
%F A255969 log(a(n)) ~ 2*sqrt(n).
%t A255969 nmax=20; CoefficientList[Series[Product[1/(1-x^k)^(x^k),{k,1,nmax}],{x,0,nmax}],x] * Range[0, nmax]!
%t A255969 nmax=20; CoefficientList[Series[Exp[Sum[1/(k*(1/x^(k+1)-1)),{k,1,nmax}]],{x,0,nmax}],x] * Range[0,nmax]!
%Y A255969 Cf. A034691, A034899.
%K A255969 nonn
%O A255969 0,3
%A A255969 _Vaclav Kotesovec_, Mar 12 2015