1,6

Sum of all other divisors of n, except those divisors that can be obtained by repeatedly taking the largest proper divisor (of previous such divisor, starting from n), up to and including the terminal 1.

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)

a(n) = A000203(n) - A332993(n).

a(n) = A001065(n) - A006022(n).

a(n) = A333784(n) - A333791(n).

(PARI)

A332993(n) = if(1==n, n, n + A332993(n/vecmin(factor(n)[, 1])));

A333783(n) = (sigma(n) - A332993(n));

Cf. A000203, A000961 (positions of zeros), A001065, A006022, A032742, A332993, A333784, A333791.

Sequence in context: A219204 A326067 A318879 * A088886 A317636 A305566

Adjacent sequences: A333780 A333781 A333782 * A333784 A333785 A333786

nonn,look

Antti Karttunen, Apr 05 2020

approved