A378440 -id:A378440 - cp's OEIS frontend

A378439 Möbius transform of A033630, where A033630 is the number of partitions of n into distinct divisors of n.

1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 29, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 21, 0, 0, 0, 1, 0, 19, 0, 0, 0, 0, 0, 11, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 12

Offset: 1

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Antti Karttunen, Nov 27 2024

nonn

Antti Karttunen, Table of n, a(n) for n = 1..20000

Cf. A008683, A033630, A378440 (Dirichlet inverse).

A033630(n) = if(!n, 1, my(p=1); fordiv(n, d, p *= (1 + 'x^d)); polcoeff(p, n));
A378439(n) = sumdiv(n, d, moebius(n/d)*A033630(d));

a(n) = Sum_{d|n} A008683(n/d)*A033630(d).

cp's OEIS Frontend

A378439 Möbius transform of A033630, where A033630 is the number of partitions of n into distinct divisors of n.

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