A346582 a(n) = (1/(8*n)) * Sum_{d|n} mu(n/d) * binomial(8*d,d).

1, 7, 84, 1120, 16450, 255612, 4141382, 69158272, 1182125043, 20581143150, 363704640475, 6506965023168, 117626432708863, 2145180354493274, 39421026305266125, 729242353100281344, 13568988503585900647, 253785064585174078869, 4768543107831461199896, 89970814565326816488000

Offset: 1

Author

Ilya Gutkovskiy, Jul 24 2021

Keywords

• nonn

Comments

Inverse Euler transform of A007556.

Moebius transform of A261501.

Crossrefs

Cf. A004381, A007556, A008683, A022553, A261501, A346577, A346578, A346579, A346580, A346581.

Programs

Mathematica

Table[(1/(8 n)) Sum[MoebiusMu[n/d] Binomial[8 d, d], {d, Divisors[n]}], {n, 20}]

PARI

a(n) = sumdiv(n, d, moebius(n/d)*binomial(8*d,d))/(8*n); \\ Michel Marcus, Jul 24 2021