A295244 Expansion of Product_{k>=1} (1 + k^k*x^k)^k.
1, 1, 8, 89, 1121, 17313, 306588, 6264356, 144123978, 3710660797, 105517536463, 3289885612007, 111534718552758, 4086488012360688, 160872398645645560, 6772203940050042913, 303547711924399057195, 14433006933542826499824
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..385
Programs
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PARI
N=66; x='x+O('x^N); Vec(prod(k=1, N, (1+k^k*x^k)^k))
Formula
a(0) = 1 and a(n) = (1/n) * Sum_{k=1..n} b(k)*a(n-k) where b(n) = Sum_{d|n} d^(2+n)*(-1)^(1+n/d).
Comments