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

1,9

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A008683, A175851, A305791, A305805.

Sequence in context: A054439 A318656 A215151 * A064722 A259748 A357728

Adjacent sequences: A305803 A305804 A305805 * A305807 A305808 A305809

Keyword

sign

Author

Antti Karttunen, Jun 13 2018

Status

approved