A295245 Expansion of Product_{k>=1} 1/(1 + k^k*x^k)^k.
1, -1, -7, -74, -902, -14075, -253551, -5307194, -124832925, -3278747898, -94780240390, -2995303153545, -102658540155454, -3794631664471440, -150460754913170964, -6371573878247136298, -287006135162339175131, -13703650554585427586271
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(1/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)^(n/d).
Comments