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A374216
The 2-adic valuation of sopfr(n), where sopfr is the sum of prime factors with repetition, A001414.
2
1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 4, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 4, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 5, 0, 0, 0, 2, 0, 1, 0, 3, 0, 0, 4, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 3, 2, 0, 0, 0, 3, 1, 1
OFFSET
2,3
LINKS
FORMULA
a(n) = A007814(A001414(n)).
PROG
(PARI)
A001414(n) = ((n=factor(n))[, 1]~*n[, 2]);
A374216(n) = valuation(A001414(n), 2);
CROSSREFS
Cf. A001414, A007814, A036349 (gives the indices of nonzero terms here, after its initial 1), A335657 (gives the indices of 0's), A356163.
Cf. also A374206, A374217.
Sequence in context: A306798 A086079 A296338 * A133703 A073265 A338326
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jul 02 2024
STATUS
approved