A333784 a(n) = sigma(n) - A332994(n).

0, 0, 0, 0, 0, 3, 0, 0, 0, 5, 0, 9, 0, 7, 5, 0, 0, 12, 0, 15, 7, 11, 0, 21, 0, 13, 0, 21, 0, 33, 0, 0, 11, 17, 7, 36, 0, 19, 13, 35, 0, 45, 0, 33, 20, 23, 0, 45, 0, 30, 17, 39, 0, 39, 11, 49, 19, 29, 0, 89, 0, 31, 28, 0, 13, 69, 0, 51, 23, 61, 0, 84, 0, 37, 30, 57, 11, 81, 0, 75, 0, 41, 0, 121, 17, 43, 29, 77, 0, 117, 13, 69, 31

Offset: 1

Author

Antti Karttunen, Apr 05 2020

Keywords

• nonn

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, A000961 (positions of zeros), A001065, A052126, A322382, A332994, A333783, A333791.

Programs

PARI

A332994(n) = if(1==n,n,n + A332994(n/vecmax(factor(n)[,1])));
A333784(n) = (sigma(n) - A332994(n));

Formula

a(n) = A000203(n) - A332994(n).

a(n) = A001065(n) - A322382(n).

a(n) = A333783(n) + A333791(n).