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A316083 Product_{k>=1} (1 + a(k)*x^k) = Sum_{k>=0} (k*x)^k. 2

%I

%S 1,4,23,233,2800,42832,763220,15761709,366711200,9537738596,

%T 273549419552,8587897407548,292755986184548,10773140836162944,

%U 425587704331945152,17966341563465800813,807152054953801845760,38451432814472749509872,1936082850634342992601636

%N Product_{k>=1} (1 + a(k)*x^k) = Sum_{k>=0} (k*x)^k.

%H Seiichi Manyama, <a href="/A316083/b316083.txt">Table of n, a(n) for n = 1..386</a>

%F a(n) ~ n^n. - _Vaclav Kotesovec_, Jun 18 2019

%e (1+x)*(1+4*x^2)*(1+23*x^3)*(1+233*x^4)* ... = 1 + x + 4*x^2 + 27*x^3 + 256*x^4 + ... .

%Y Cf. A000312, A147559, A147654, A158094, A316085.

%K nonn

%O 1,2

%A _Seiichi Manyama_, Jun 23 2018

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Last modified April 7 04:08 EDT 2020. Contains 333292 sequences. (Running on oeis4.)