A374216 -id:A374216 - cp's OEIS frontend

A374217 The 3-adic valuation of sopfr(n), where sopfr is the sum of prime factors with repetition, A001414.

0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2

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, A007949, A289142 (gives the indices of nonzero terms here, after its initial 1), A373371

Cf. also A374207, A374216.

A001414(n) = ((n=factor(n))[, 1]~*n[, 2]);
A374217(n) = valuation(A001414(n), 3);

a(n) = A007949(A001414(n)).

cp's OEIS Frontend

A374217 The 3-adic valuation of sopfr(n), where sopfr is the sum of prime factors with repetition, A001414.

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