A305806 Möbius transform of A175851.

1, 0, 0, 1, 0, 1, 0, 0, 2, 3, 0, -1, 0, 1, 2, 2, 0, -2, 0, -3, 2, 3, 0, 0, 2, 3, 2, 3, 0, -5, 0, -2, 2, 3, 4, 4, 0, 1, 2, 2, 0, -3, 0, -3, -2, 3, 0, -2, 2, -2, 4, 1, 0, -2, 2, -2, 4, 5, 0, 3, 0, 1, -2, 2, 4, -1, 0, -3, 2, -5, 0, -4, 0, 1, -2, 1, 4, -1, 0, -4, -2, 3, 0, -3, 2, 3, 4, 4, 0, 2, 2, -1, 4, 5, 6, 8, 0, -2, -2, 2, 0, -7, 0, -4, -6

Offset: 1

Author

Antti Karttunen, Jun 13 2018

Keywords

• sign

Links

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

Crossrefs

Cf. A008683, A175851, A305791, A305805.

Programs

PARI

A175851(n) = if(1==n,n,1 + n - precprime(n));
A305806(n) = sumdiv(n,d,moebius(n/d)*A175851(d));

Formula

a(n) = Sum_{d|n} A008683(n/d)*A175851(d).