A328730 Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^k.

1, -2, -3, -3, -5, 0, -7, 0, -6, 0, -11, 9, -13, 0, 0, 2, -17, 12, -19, 15, 0, 0, -23, 18, -15, 0, -1, 21, -29, 30, -31, 12, 0, 0, 0, 33, -37, 0, 0, 30, -41, 42, -43, 33, 30, 0, -47, 30, -28, 30, 0, 39, -53, 38, 0, 42, 0, 0, -59, 60, -61, 0, 42, 14, 0, 66, -67, 51, 0, 70

Offset

1,2

Comments

Dirichlet inverse of A050367.

Links

Table of n, a(n) for n=1..70.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d<n} A050367(n/d) * a(d).

Crossrefs

Cf. A050367, A114592, A161918 (positions of 0's), A328731.

Sequence in context: A240376 A118963 A127641 * A106821 A065863 A341931

Adjacent sequences: A328727 A328728 A328729 * A328731 A328732 A328733

Keyword

sign

Author

Ilya Gutkovskiy, Oct 26 2019

Status

approved