OFFSET
0,5
COMMENTS
Convolution inverse of A087188.
FORMULA
G.f.: Product_{k>=1} 1 / (1 + x^A005117(k)).
MATHEMATICA
nmax = 60; CoefficientList[Series[Product[1/(1 + MoebiusMu[k]^2 x^k), {k, 1, nmax}], {x, 0, nmax}], x]
a[n_] := a[n] = If[n == 0, 1, Sum[Sum[(-1)^(k/d) Boole[SquareFreeQ[d]] d, {d, Divisors[k]}] a[n - k], {k, 1, n}]/n]; Table[a[n], {n, 0, 60}]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Nov 04 2019
STATUS
approved