A349443 a(n) = A349441(n) + A349442(n).

2, 0, 0, 1, 0, 4, 0, -3, 4, 8, 0, -6, 0, 12, 16, -1, 0, -8, 0, -12, 24, 20, 0, -6, 16, 24, -16, -18, 0, 0, 0, 5, 40, 32, 48, 14, 0, 36, 48, -12, 0, 0, 0, -30, -32, 44, 0, -2, 36, -24, 64, -36, 0, -16, 80, -18, 72, 56, 0, 8, 0, 60, -48, 7, 96, 0, 0, -48, 88, 0, 0, 6, 0, 72, -48, -54, 120, 0, 0, -4, -20, 80, 0, 12

Offset: 1

Author

Antti Karttunen, Nov 18 2021

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000

Crossrefs

Cf. A349441, A349442.

Programs

PARI

A349443(n) = (A349441(n)+A349442(n)); \\ Needs also code from A349441 and A349442.

Formula

a(1) = 2, and for n > 1, a(n) = -Sum_{d|n, 1A349441(d) * A349442(n/d). [As the sequences are Dirichlet inverses of each other]