A326054 a(n) = A326053(n) - n, where A326053 gives the sum of all other divisors of n except the largest square divisor.

-1, 0, 0, -1, 0, 5, 0, 3, -5, 7, 0, 12, 0, 9, 8, -1, 0, 12, 0, 18, 10, 13, 0, 32, -19, 15, 4, 24, 0, 41, 0, 15, 14, 19, 12, 19, 0, 21, 16, 46, 0, 53, 0, 36, 24, 25, 0, 60, -41, 18, 20, 42, 0, 57, 16, 60, 22, 31, 0, 104, 0, 33, 32, -1, 18, 77, 0, 54, 26, 73, 0, 87, 0, 39, 24, 60, 18, 89, 0, 90, -41, 43, 0, 136, 22, 45, 32, 88, 0, 135, 20

Offset: 1

Author

Antti Karttunen, Jun 05 2019

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..16384
• Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537
• Index entries for sequences related to sigma(n)

Crossrefs

Cf. A000203, A008833, A033879, A326053, A326055.

Programs

PARI

A008833(n) = (n/core(n));
A326053(n) = (sigma(n)-A008833(n));
A326054(n) = (A326053(n)-n);

Formula

a(n) = A326053(n) - n = (A000203(n) - A008833(n)) - n.

a(n) = A326055(n) - A033879(n).