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A294813 Expansion of Product_{k>=1} 1/(1 - k^k*x^k)^k. 4

%I #18 Nov 16 2017 08:23:19

%S 1,1,9,90,1162,17435,310193,6286826,144750451,3717959194,105725550762,

%T 3293914191401,111659484775650,4089936343858976,160992739588472076,

%U 6776415674628574634,303714862444753023205,14439925495117621425535

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

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

%H Seiichi Manyama, <a href="/A294813/b294813.txt">Table of n, a(n) for n = 0..385</a>

%F a(0) = 1 and a(n) = (1/n) * Sum_{k=1..n} A294810(k)*a(n-k) for n > 0.

%F a(n) ~ n^(n+1). - _Vaclav Kotesovec_, Nov 10 2017

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

%Y Cf. A294809, A294810.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Nov 09 2017

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Last modified April 18 15:35 EDT 2024. Contains 371780 sequences. (Running on oeis4.)