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

1,1

Links

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

Formula

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

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

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

Prog

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

Crossrefs

Cf. A267099, A319340, A354102, A354104.

Sequence in context: A349342 A365712 A349914 * A370366 A342419 A226350

Adjacent sequences: A354102 A354103 A354104 * A354106 A354107 A354108

Keyword

nonn

Author

Antti Karttunen, May 18 2022

Status

approved