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

Author

Antti Karttunen, Jan 02 2023

Keywords

• sign
• base
• look

Links

• Antti Karttunen, Table of n, a(n) for n = 1..11550
• Index entries for sequences related to primorial base

Crossrefs

Cf. A060681, A276086, A358764, A359427.

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

Cf. also A342419.

Programs

PARI

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

Formula

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

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