login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A366788
a(n) = A366388(A163511(n)).
3
0, 0, 0, 1, 0, 2, 1, 2, 0, 3, 2, 4, 1, 3, 2, 1, 0, 4, 3, 6, 2, 5, 4, 2, 1, 4, 3, 3, 2, 2, 1, 3, 0, 5, 4, 8, 3, 7, 6, 3, 2, 6, 5, 4, 4, 3, 2, 6, 1, 5, 4, 5, 3, 4, 3, 4, 2, 3, 2, 5, 1, 4, 3, 2, 0, 6, 5, 10, 4, 9, 8, 4, 3, 8, 7, 5, 6, 4, 3, 9, 2, 7, 6, 6, 5, 5, 4, 7, 4, 4, 3, 8, 2, 7, 6, 4, 1, 6, 5, 7, 4, 6, 5, 5, 3, 5
OFFSET
0,6
PROG
(PARI)
A163511(n) = if(!n, 1, my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));
A366388(n) = if(n<=2, 0, if(isprime(n), 1+A366388(primepi(n)), my(f=factor(n)); (apply(A366388, f[, 1])~ * f[, 2])));
CROSSREFS
Cf. also A334204, A365385.
Sequence in context: A055941 A347696 A365385 * A290537 A377087 A272569
KEYWORD
nonn
AUTHOR
Antti Karttunen, Oct 23 2023
STATUS
approved