A331279 a(n) = A122111(A006047(n)).

1, 2, 4, 2, 3, 6, 4, 6, 9, 2, 3, 6, 3, 5, 10, 6, 10, 15, 4, 6, 9, 6, 10, 15, 9, 15, 25, 2, 3, 6, 3, 5, 10, 6, 10, 15, 3, 5, 10, 5, 7, 14, 10, 14, 21, 6, 10, 15, 10, 14, 21, 15, 21, 35, 4, 6, 9, 6, 10, 15, 9, 15, 25, 6, 10, 15, 10, 14, 21, 15, 21, 35, 9, 15, 25, 15, 21, 35, 25, 35, 49, 2, 3, 6, 3, 5, 10, 6, 10, 15, 3, 5, 10, 5, 7

Offset: 0

Author

Antti Karttunen, Jan 13 2020

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..19683

Crossrefs

Cf. A006047, A056239, A053735, A122111.

Programs

PARI

A006047(n) = { my(m=1, d); while(n, d = (n%3); m *= (1+d); n = (n-d)/3); m; };
A064989(n) = {my(f); f = factor(n); if((n>1 && f[1,1]==2), f[1,2] = 0); for (i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f)};
A122111(n) = if(1==n,n,prime(bigomega(n))*A122111(A064989(n)));
A331279(n) = A122111(A006047(n));

Formula

a(n) = A122111(A006047(n)).

For all n >= 0, A056239(a(n)) = A053735(n).