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A305787 Inverse Euler transform of (-n)^n. 2

%I #16 Oct 09 2019 02:02:39

%S -1,4,-23,223,-2800,42599,-763220,15734388,-366715248,9533820200,

%T -273549419552,8586984241870,-292755986184548,10772849584162694,

%U -425587711650564816,17966217346985801150,-807152054953801845760,38451365602113718874568,-1936082850634342992601636

%N Inverse Euler transform of (-n)^n.

%H Seiichi Manyama, <a href="/A305787/b305787.txt">Table of n, a(n) for n = 1..386</a>

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%F Product_{k>=1} 1/(1-x^k)^{a(k)} = Sum_{n>=0} (-n * x)^n.

%F a(n) ~ (-1)^n * n^n. - _Vaclav Kotesovec_, Oct 09 2019

%e (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 Cf. A177885, A305754.

%K sign

%O 1,2

%A _Seiichi Manyama_, Jun 10 2018

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Last modified June 3 11:59 EDT 2024. Contains 373060 sequences. (Running on oeis4.)