A342459 a(n) = gcd(A048250(n), A342001(n)).

1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 4, 1, 3, 8, 1, 1, 1, 1, 6, 2, 1, 1, 1, 2, 3, 1, 8, 1, 1, 1, 1, 2, 1, 12, 2, 1, 3, 8, 1, 1, 1, 1, 12, 1, 1, 1, 2, 2, 9, 4, 14, 1, 3, 8, 1, 2, 1, 1, 2, 1, 3, 1, 3, 6, 1, 1, 18, 2, 1, 1, 1, 1, 3, 1, 20, 6, 1, 1, 2, 4, 1, 1, 2, 2, 3, 8, 1, 1, 1, 4, 24, 2, 1, 24, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1

Offset: 1

Author

Antti Karttunen, Mar 28 2021

Keywords

• nonn

Links

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

Crossrefs

Cf. A001615, A003415, A003557, A048250, A342001, A342458, A342919.

Cf. also A066086, A342416.

Programs

PARI

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A003557(n) = (n/factorback(factorint(n)[, 1]));
A342001(n) = (A003415(n) / A003557(n));
A048250(n) = factorback(apply(p -> p+1,factor(n)[,1]));
A342459(n) = gcd(A048250(n), A342001(n));

Formula

a(n) = A342458(n) / A003557(n) = gcd(A048250(n), A342001(n)).

a(n) = A342001(n) / A342919(n).