A329347 Dirichlet convolution of the identity function with bigomega.

0, 1, 1, 4, 1, 7, 1, 11, 5, 9, 1, 23, 1, 11, 10, 26, 1, 28, 1, 31, 12, 15, 1, 59, 7, 17, 18, 39, 1, 54, 1, 57, 16, 21, 14, 87, 1, 23, 18, 81, 1, 68, 1, 55, 43, 27, 1, 135, 9, 52, 22, 63, 1, 94, 18, 103, 24, 33, 1, 166, 1, 35, 53, 120, 20, 96, 1, 79, 28, 90, 1, 218, 1, 41, 59, 87, 20, 110, 1, 187, 58, 45, 1, 212, 24, 47, 34, 147, 1, 207, 22

Offset

1,4

Links

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

Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537

Formula

a(n) = Sum_{d|n} d * A001222(n/d).

Prog

(PARI) A329347(n) = sumdiv(n, d, (n/d)*bigomega(d));

Crossrefs

Cf. A001222.

Cf. also A323599, A329371, A329372, A329373.

Sequence in context: A157259 A046551 A065814 * A348981 A358077 A340073

Adjacent sequences: A329344 A329345 A329346 * A329348 A329349 A329350

Keyword

nonn

Author

Antti Karttunen, Nov 12 2019

Status

approved