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A323885
Sum of A001511 and its Dirichlet inverse.
8
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
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
KEYWORD
nonn
AUTHOR
Antti Karttunen, Feb 08 2019
STATUS
approved