A324044 a(n) = A003958(n) - A033879(n).

0, 0, 0, 0, 0, 2, 0, 0, -1, 2, 0, 6, 0, 2, 2, 0, 0, 7, 0, 6, 2, 2, 0, 14, -3, 2, -6, 6, 0, 20, 0, 0, 2, 2, 2, 23, 0, 2, 2, 14, 0, 24, 0, 6, 4, 2, 0, 30, -5, 9, 2, 6, 0, 20, 2, 14, 2, 2, 0, 56, 0, 2, 2, 0, 2, 32, 0, 6, 2, 28, 0, 55, 0, 2, 6, 6, 2, 36, 0, 30, -25, 2, 0, 68, 2, 2, 2, 14, 0, 70, 2, 6, 2, 2, 2, 62, 0, 11, -2, 33, 0, 44, 0, 14, 30

Offset: 1

Author

Antti Karttunen, Feb 13 2019

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000

Crossrefs

Cf. A003958, A033879.

Cf. also A319687, A323911.

Programs

PARI

A003958(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1]--); factorback(f); };
A033879(n) = (2*n-sigma(n));
A324044(n) = (A003958(n)-A033879(n));

Formula

a(n) = A003958(n) - A033879(n).