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.

A305786 Inverse Euler transform of (-1)^n * n!.

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%I A305786 #17 Oct 09 2019 07:55:52
%S A305786 -1,2,-4,17,-92,576,-4156,34159,-314368,3199936,-35703996,433421495,
%T A305786 -5687955724,80256879068,-1211781887796,19496946534720,
%U A305786 -333041104402860,6019770247224496,-114794574818830716,2303332661416242633,-48509766592884311132,1069983257387168051076
%N A305786 Inverse Euler transform of (-1)^n * n!.
%H A305786 Seiichi Manyama, <a href="/A305786/b305786.txt">Table of n, a(n) for n = 1..449</a>
%H A305786 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F A305786 Product_{k>=1} 1/(1-x^k)^{a(k)} = Sum_{n>=0} (-1)^n * n! * x^n.
%F A305786 a(n) ~ (-1)^n * n!. - _Vaclav Kotesovec_, Oct 09 2019
%e A305786 (1-x) * (1-x^2)^(-2) * (1-x^3)^4 * (1-x^4)^(-17) * ... = 1 - x + 2*x^2 - 6*x^3 + 24*x^4 - ... .
%Y A305786 Cf. A112354, A133942.
%K A305786 sign
%O A305786 1,2
%A A305786 _Seiichi Manyama_, Jun 10 2018