A334091 a(1) = 0, then after the first differences of A329697.

0, 0, 1, -1, 1, 0, 1, -2, 2, -1, 1, -1, 1, 0, 0, -2, 1, 1, 1, -2, 2, -1, 1, -2, 1, 0, 1, -1, 1, -1, 1, -3, 3, -2, 2, -1, 1, 0, 0, -2, 1, 1, 1, -2, 1, 0, 1, -3, 3, -2, 0, 0, 1, 0, 0, -1, 2, -1, 1, -2, 1, 0, 1, -4, 3, 0, 1, -3, 3, -1, 1, -2, 1, 0, 0, 0, 1, -1, 1, -3, 3, -2, 1, 0, -1, 2, 0, -2, 1, 0, 1, -1, 1, 0, 0, -3, 1, 2, 0, -2, 1, -1, 1, -1, 2

Offset: 1

Author

Antti Karttunen, Apr 17 2020

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..65537

Crossrefs

Cf. A329697, A334090, A334195.

Programs

PARI

A329697(n) = if(!bitand(n,n-1),0,1+A329697(n-(n/vecmax(factor(n)[, 1]))));
A334091(n) = if(1==n,0,A329697(n)-A329697(n-1));

Formula

a(1) = 0, and for n > 1, a(n) = A329697(n) - A329697(n-1).

a(n) = A334090(n) - A334195(n).