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A346582
a(n) = (1/(8*n)) * Sum_{d|n} mu(n/d) * binomial(8*d,d).
5
1, 7, 84, 1120, 16450, 255612, 4141382, 69158272, 1182125043, 20581143150, 363704640475, 6506965023168, 117626432708863, 2145180354493274, 39421026305266125, 729242353100281344, 13568988503585900647, 253785064585174078869, 4768543107831461199896, 89970814565326816488000
OFFSET
1,2
COMMENTS
Inverse Euler transform of A007556.
Moebius transform of A261501.
MATHEMATICA
Table[(1/(8 n)) Sum[MoebiusMu[n/d] Binomial[8 d, d], {d, Divisors[n]}], {n, 20}]
PROG
(PARI) a(n) = sumdiv(n, d, moebius(n/d)*binomial(8*d, d))/(8*n); \\ Michel Marcus, Jul 24 2021
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jul 24 2021
STATUS
approved