A346938 a(n) = Sum_{d|n} mu(n/d) * binomial(7*d,d) / (6*d+1).

1, 6, 69, 812, 10471, 141702, 1997687, 28988856, 430321563, 6503342378, 99726673129, 1547847703500, 24269405074739, 383846166714410, 6116574500850339, 98106248277869040, 1582638261961640246, 25661404527359789034, 417980115131315136399, 6836064539918615002932

Offset: 1

Author

Ilya Gutkovskiy, Aug 08 2021

Keywords

• nonn

Comments

Moebius transform of A002296.

Crossrefs

Cf. A002296, A002996, A008683, A346925, A346935, A346936, A346937, A346939.

Programs

Mathematica

Table[Sum[MoebiusMu[n/d] Binomial[7 d, d]/(6 d + 1), {d, Divisors[n]}], {n, 20}]