A374217 -id:A374217 - cp's OEIS frontend

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

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Antti Karttunen, Jul 02 2024

nonn

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

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.

A001414(n) = ((n=factor(n))[, 1]~*n[, 2]);
A374216(n) = valuation(A001414(n), 2);

a(n) = A007814(A001414(n)).

cp's OEIS Frontend

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

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