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A294957 Expansion of Product_{k>=1} 1/(1 - k*x^k)^(k^(k-1)). 3

%I #12 Nov 18 2017 04:21:53

%S 1,1,5,32,300,3533,51650,894929,17981196,410826036,10518152538,

%T 298209605418,9273131902539,313758357802886,11474239675400172,

%U 450962279143408815,18954601400362304902,848385358833157331498,40285279861744621069122

%N Expansion of Product_{k>=1} 1/(1 - k*x^k)^(k^(k-1)).

%C This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = n^(n-1), g(n) = n.

%H Seiichi Manyama, <a href="/A294957/b294957.txt">Table of n, a(n) for n = 0..386</a>

%F a(0) = 1 and a(n) = (1/n) * Sum_{k=1..n} A294956(k)*a(n-k) for n > 0.

%o (PARI) N=66; x='x+O('x^N); Vec(1/prod(k=1, N, (1-k*x^k)^k^(k-1)))

%Y Cf. A294956.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Nov 12 2017

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