A351944 a(n) = A003557(A181819(n)).

1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 2, 3, 1, 2, 2, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 4, 1, 1, 2, 4, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 1, 1, 4

Offset: 1

Author

Antti Karttunen, Apr 02 2022

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000
• Index entries for sequences computed from exponents in factorization of n

Crossrefs

Cf. A003557, A181819, A329601, A351945.

Cf. also A295879.

Programs

PARI

A003557(n) = (n/factorback(factorint(n)[, 1]));
A181819(n) = factorback(apply(e->prime(e),(factor(n)[,2])));
A351944(n) = A003557(A181819(n));

Formula

a(n) = A181819(n) / A329601(n) = A003557(A181819(n)).