A359165 Difference between A126760 and its Möbius transform.

0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 2, 3, 4, 1, 1, 2, 5, 1, 3, 1, 2, 1, 1, 4, 6, 4, 1, 1, 7, 5, 2, 1, 3, 1, 4, 2, 8, 1, 1, 3, 9, 6, 5, 1, 1, 5, 3, 7, 10, 1, 2, 1, 11, 3, 1, 6, 4, 1, 6, 8, 12, 1, 1, 1, 13, 9, 7, 6, 5, 1, 2, 1, 14, 1, 3, 7, 15, 10, 4, 1, 2, 7, 8, 11, 16, 8, 1, 1, 17

Offset: 1

Author

Antti Karttunen, Dec 22 2022

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..12000
• Antti Karttunen, Data supplement: n, a(n) computed for n = 1..100000

Crossrefs

Cf. A008683, A126760, A347233.

Cf. also A323882, A359164.

Programs

PARI

A126760(n) = {n&&n\=3^valuation(n, 3)<A126760.
A347233(n) = sumdiv(n,d,moebius(n/d)*A126760(d));
A359165(n) = (A126760(n)-A347233(n));

Formula

a(n) = A126760(n) - A347233(n).

a(n) = Sum_{d|n, dA347233(d).

a(n) = -Sum_{d|n, dA008683(n/d)*A126760(d).