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A358218
Number of prime factors (with multiplicity) in A328478(n).
4
0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 3, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 3, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 3, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 0
OFFSET
1,9
FORMULA
a(n) = A001222(A328478(n)).
a(n) <= A355930(n).
Apparently, a(n) >= A358217(n) for all n.
PROG
(PARI)
A111701(n) = forprime(p=2, , if(n%p, return(n), n /= p));
A328478(n) = { my(u=A111701(n)); if(u==n, return(n), return(A328478(u))); };
A358218(n) = bigomega(A328478(n));
CROSSREFS
Cf. A001222, A025487 (positions of zeros), A328478, A355930.
Cf. A358219 (positions where differs from A358217).
Sequence in context: A060763 A131576 A341675 * A100073 A257988 A340379
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 04 2022
STATUS
approved