A347956 - OEIS

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A347956

Dirichlet convolution of A003602 with A069359.

0, 1, 1, 3, 1, 8, 1, 7, 5, 11, 1, 22, 1, 14, 13, 15, 1, 35, 1, 31, 16, 20, 1, 50, 8, 23, 20, 40, 1, 81, 1, 31, 22, 29, 19, 95, 1, 32, 25, 71, 1, 106, 1, 58, 62, 38, 1, 106, 11, 77, 31, 67, 1, 134, 25, 92, 34, 47, 1, 217, 1, 50, 78, 63, 28, 156, 1, 85, 40, 151, 1, 215, 1, 59, 95, 94, 28, 181, 1, 151, 74, 65, 1, 286, 34

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OFFSET

1,4

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16384

FORMULA

a(n) = Sum_{d|n} A003602(d) * A069359(n/d).

PROG

(PARI)

A003602(n) = (1+(n>>valuation(n, 2)))/2;

A069359(n) = (n*sumdiv(n, d, isprime(d)/d)); \\ From A069359

A347956(n) = sumdiv(n, d, A003602(d)*A069359(n/d));