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

1,10

Links

Antti Karttunen, Table of n, a(n) for n = 1..12000

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

Formula

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

a(n) = Sum_{d|n, d<n} A347233(d).

a(n) = -Sum_{d|n, d<n} A008683(n/d)*A126760(d).

Prog

(PARI)
A126760(n) = {n&&n\=3^valuation(n, 3)<<valuation(n, 2); n%3+n\6*2}; \\ From A126760.
A347233(n) = sumdiv(n, d, moebius(n/d)*A126760(d));
A359165(n) = (A126760(n)-A347233(n));

Crossrefs

Cf. A008683, A126760, A347233.

Cf. also A323882, A359164.

Sequence in context: A077481 A278113 A242012 * A377364 A086290 A136568

Adjacent sequences: A359162 A359163 A359164 * A359166 A359167 A359168

Keyword

nonn

Author

Antti Karttunen, Dec 22 2022

Status

approved