A334090 a(1) = 0, and then after the first differences of A064097.

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

Offset: 1

Author

Antti Karttunen, Apr 17 2020

Keywords

• sign

Links

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

Crossrefs

Cf. A064097, A334091, A334195.

Cf. A334197 (positions of records).

Cf. also A332903.

Programs

PARI

A064097(n) = if(1==n,0,1+A064097(n-(n/vecmin(factor(n)[,1]))));
A334090(n) = if(1==n,0,A064097(n)-A064097(n-1));

Formula

a(1) = 0, and for n > 1, a(n) = A064097(n) - A064097(n-1).

a(n) = A334091(n) + A334195(n).