A373850 a(n) = A276085(n) mod bigomega(n), where bigomega (A001222) and A276085 are fully additive with a(p) = 1 and a(p) = p#/p respectively.

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

Offset: 2

Author

Antti Karttunen, Jun 20 2024

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 2..100000

Crossrefs

Cf. A001222, A276085, A373832 [= a(A276086(n))], A373851, A373852 (after its initial term, gives the indices of 0's).

Programs

PARI

A276085(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*prod(i=1,primepi(f[k, 1]-1),prime(i))); };
A373850(n) = (A276085(n)%bigomega(n));