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A308298
Expansion of Sum_{k>=1} mu(k)*log(1 + Sum_{j>=1} x^(prime(j)*k))/k.
3
0, 1, 1, -1, 0, -1, 1, 0, -1, -1, 2, 1, 0, -3, 0, 1, 3, -2, -1, 0, 4, -3, -1, -5, 6, 2, 2, -11, 4, 4, 13, -16, -5, -8, 30, -8, -7, -33, 42, 8, 16, -82, 27, 19, 95, -116, -21, -45, 223, -82, -40, -264, 326, 46, 135, -629, 242, 99, 752, -942, -105, -421, 1826, -717, -240
OFFSET
1,11
COMMENTS
Inverse Euler transform of A010051.
FORMULA
-1 + Product_{n>=1} 1/(1 - x^n)^a(n) = g.f. of A010051.
MATHEMATICA
nmax = 65; CoefficientList[Series[Sum[MoebiusMu[k] Log[1 + Sum[x^(Prime[j] k), {j, 1, nmax}]]/k, {k, 1, nmax}], {x, 0, nmax}], x] // Rest
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, May 19 2019
STATUS
approved