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.

A305787 Inverse Euler transform of (-n)^n.

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%I A305787 #16 Oct 09 2019 02:02:39
%S A305787 -1,4,-23,223,-2800,42599,-763220,15734388,-366715248,9533820200,
%T A305787 -273549419552,8586984241870,-292755986184548,10772849584162694,
%U A305787 -425587711650564816,17966217346985801150,-807152054953801845760,38451365602113718874568,-1936082850634342992601636
%N A305787 Inverse Euler transform of (-n)^n.
%H A305787 Seiichi Manyama, <a href="/A305787/b305787.txt">Table of n, a(n) for n = 1..386</a>
%H A305787 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F A305787 Product_{k>=1} 1/(1-x^k)^{a(k)} = Sum_{n>=0} (-n * x)^n.
%F A305787 a(n) ~ (-1)^n * n^n. - _Vaclav Kotesovec_, Oct 09 2019
%e A305787 (1-x) * (1-x^2)^(-4) * (1-x^3)^23 * (1-x^4)^(-223) * ... =  1 - x + 4*x^2 - 27*x^3 + 256*x^4 - ... .
%Y A305787 Cf. A177885, A305754.
%K A305787 sign
%O A305787 1,2
%A A305787 _Seiichi Manyama_, Jun 10 2018