A373366 a(n) = gcd(A064097(n), A083345(n)).

0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 5, 7, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 8, 1, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 9, 1, 1, 1, 4, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 1

Author

Antti Karttunen, Jun 02 2024

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..100000

Crossrefs

Cf. A064097, A083345.

Cf. also A373363, A373365.

Programs

PARI

A064097(n) = if(1==n,0,1+A064097(n-(n/vecmin(factor(n)[,1]))));
A083345(n) = { my(f=factor(n)); numerator(vecsum(vector(#f~, i, f[i, 2]/f[i, 1]))); };
A373366(n) = gcd(A064097(n), A083345(n));