A374216 The 2-adic valuation of sopfr(n), where sopfr is the sum of prime factors with repetition, A001414.

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

Antti Karttunen, Table of n, a(n) for n = 2..100000

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

Adjacent sequences: A374213 A374214 A374215 * A374217 A374218 A374219

Keyword

nonn

Author

Antti Karttunen, Jul 02 2024

Status

approved