A349378 a(n) = A349376(n) + A349377(n).

2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -6, 0, 0, 0, 10, 9, 0, 0, -8, 0, -30, 0, -4, 0, 0, 24, 27, 0, 0, 0, 34, 0, -40, 0, -14, -6, 0, 0, -34, 16, -66, 0, -14, 0, 10, 42, 44, 0, 0, 0, 166, 0, 0, -8, 11, 42, -70, 0, -20, 0, -172, 0, -70, 0, 0, -42, -22, 56, -70, 0, -103, 1, 0, 0, 216, 60, 0, 0, 78

Offset

1,1

Links

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

Formula

a(1) = 2, and for n >1, a(n) = -Sum_{d|n, 1<d<n} A349376(d) * A349377(n/d). [As the sequences are Dirichlet inverses of each other]

Prog

(PARI) A349378(n) = (A349376(n)+A349377(n)); \\ Needs also code from A349376 and A349377.

Crossrefs

Cf. A006368, A006369, A349376, A349377.

Cf. also A349352, A349369.

Sequence in context: A005926 A353419 A346483 * A331918 A089803 A354449

Adjacent sequences: A349375 A349376 A349377 * A349379 A349380 A349381

Keyword

sign

Author

Antti Karttunen, Nov 17 2021

Status

approved