A323885 Sum of A001511 and its Dirichlet inverse.

2, 0, 0, 4, 0, 4, 0, 4, 1, 4, 0, 2, 0, 4, 2, 5, 0, 2, 0, 2, 2, 4, 0, 4, 1, 4, 1, 2, 0, 0, 0, 6, 2, 4, 2, 3, 0, 4, 2, 4, 0, 0, 0, 2, 1, 4, 0, 5, 1, 2, 2, 2, 0, 2, 2, 4, 2, 4, 0, 4, 0, 4, 1, 7, 2, 0, 0, 2, 2, 0, 0, 4, 0, 4, 1, 2, 2, 0, 0, 5, 1, 4, 0, 4, 2, 4, 2, 4, 0, 2, 2, 2, 2, 4, 2, 6, 0, 2, 1, 3, 0, 0, 0, 4, 0

Offset

1,1

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Formula

a(n) = A001511(n) + A092673(n).

Prog

(PARI)
A001511(n) = (1+valuation(n, 2));
A092673(n) = (moebius(n)-if(n%2, 0, moebius(n/2)));
A323885(n) = (A001511(n)+A092673(n));
(Python)
from sympy import mobius
def A323885(n): return (n&-n).bit_length()+mobius(n)-(0 if n&1 else mobius(n>>1)) # Chai Wah Wu, Jul 13 2022

Crossrefs

Cf. A001511, A092673.

Cf. also A318449, A318450, A323365, A323882, A323884, A323887, A323896.

Sequence in context: A326404 A358702 A307510 * A137513 A365714 A221419

Adjacent sequences: A323882 A323883 A323884 * A323886 A323887 A323888

Keyword

nonn

Author

Antti Karttunen, Feb 08 2019

Status

approved