A354105 Sum of A354102 and its Dirichlet inverse.

2, 0, 0, 1, 0, 8, 0, 3, 16, 4, 0, 12, 0, 24, 16, 7, 0, 24, 0, 6, 96, 32, 0, 20, 4, 12, 96, 36, 0, 0, 0, 15, 128, 20, 48, 44, 0, 56, 48, 10, 0, 0, 0, 48, 48, 72, 0, 36, 144, 8, 80, 18, 0, 104, 64, 60, 224, 36, 0, 8, 0, 80, 288, 31, 24, 0, 0, 30, 288, 0, 0, 84, 0, 44, 32, 84, 384, 0, 0, 18, 496, 60, 0, 48, 40, 104, 144

Offset: 1

Author

Antti Karttunen, May 18 2022

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..19683

Crossrefs

Cf. A267099, A319340, A354102, A354104.

Programs

PARI

A354105(n) = (A354102(n)+A354104(n));

Formula

a(n) = A354102(n) + A354104(n).

a(1) = 2, and for n > 1, a(n) = -Sum_{d|n, 1A354102(d) * A354104(n/d).

a(n) = A319340(A267099(n)).