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

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));

Crossrefs

Cf. A003602, A069359.

Cf. also A347954, A347955, A347957.

Sequence in context: A347954 A217598 A347235 * A280207 A319045 A347134

Adjacent sequences: A347953 A347954 A347955 * A347957 A347958 A347959

Keyword

nonn

Author

Antti Karttunen, Sep 20 2021

Status

approved