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A329435
Expansion of Sum_{k>=1} (-1 + Product_{j>=2} 1 / (1 - x^(k*j))).
1
0, 1, 1, 3, 2, 6, 4, 10, 9, 15, 14, 29, 24, 39, 44, 65, 66, 102, 105, 154, 170, 225, 253, 356, 385, 503, 583, 749, 847, 1100, 1238, 1572, 1809, 2234, 2579, 3219, 3660, 4484, 5195, 6314, 7245, 8800, 10087, 12141, 14011, 16678, 19196, 22930, 26256, 31099, 35784
OFFSET
1,4
COMMENTS
Inverse Moebius transform of A002865.
FORMULA
G.f.: Sum_{k>=1} A002865(k) * x^k / (1 - x^k).
a(n) = Sum_{d|n} A002865(d).
MATHEMATICA
nmax = 51; CoefficientList[Series[Sum[-1 + Product[1/(1 - x^(k j)), {j, 2, nmax}], {k, 1, nmax}], {x, 0, nmax}], x] // Rest
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Nov 13 2019
STATUS
approved