A359428 Sum of A358764 and its Dirichlet inverse.

2, 0, 0, 4, 0, 12, 0, 16, 9, 36, 0, 16, 0, 20, 54, 20, 0, 30, 0, 120, 30, 180, 0, 20, 81, 100, 63, 200, 0, 228, 0, 544, 270, 900, 90, 446, 0, 500, 150, 820, 0, 1660, 0, 3000, 477, 4500, 0, 2760, 25, 2554, 1350, 5000, 0, 7788, 810, 14900, 750, 22500, 0, 936, 0, 28, 2265, -12, 450, 3324, 0, 168, 6750

Offset

1,1

Links

Antti Karttunen, Table of n, a(n) for n = 1..11550

Index entries for sequences related to primorial base

Formula

a(n) = A358764(n) + A359427(n).

a(1) = 2, and for n > 1, a(n) = -Sum_{d|n, 1<d<n} A358764(d) * A359427(n/d).

Prog

(PARI) A359428(n) = (A358764(n)+A359427(n)); \\ Uses the program given in A359427.

Crossrefs

Cf. A060681, A276086, A358764, A359427.

Cf. A053850 (positions of odd terms), A353569 (parity of terms).

Cf. also A342419.

Sequence in context: A349359 A323894 A349383 * A354867 A346247 A323412

Adjacent sequences: A359425 A359426 A359427 * A359429 A359430 A359431

Keyword

sign,base,look

Author

Antti Karttunen, Jan 02 2023

Status

approved