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A358217
Number of prime factors (with multiplicity) in A319627(n).
4
0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 3, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 3, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 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, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 0
OFFSET
1,9
FORMULA
a(n) = A001222(A319627(n)).
Apparently, a(n) <= A358218(n) for all n.
PROG
(PARI)
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)};
A319627(n) = (A064989(n) / gcd(n, A064989(n)));
A358217(n) = bigomega(A319627(n));
CROSSREFS
Cf. A001222, A025487 (positions of zeros), A064989, A319627,
Cf. A358219 (positions where differs from A358218).
Sequence in context: A261447 A287325 A336387 * A286133 A328248 A360158
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 04 2022
STATUS
approved