A305439 a(n) = A046645(n) - A007949(n); the 2-adic valuation of A317932.

0, 1, 0, 3, 1, 1, 1, 4, 1, 2, 1, 3, 1, 2, 1, 7, 1, 2, 1, 4, 1, 2, 1, 4, 3, 2, 1, 4, 1, 2, 1, 8, 1, 2, 2, 4, 1, 2, 1, 5, 1, 2, 1, 4, 2, 2, 1, 7, 3, 4, 1, 4, 1, 2, 2, 5, 1, 2, 1, 4, 1, 2, 2, 10, 2, 2, 1, 4, 1, 3, 1, 5, 1, 2, 3, 4, 2, 2, 1, 8, 3, 2, 1, 4, 2, 2, 1, 5, 1, 3, 2, 4, 1, 2, 2, 8, 1, 4, 2, 6, 1, 2, 1, 5, 2

Offset

1,4

Comments

Apart from a(1) and a(3), all other terms are positive.

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Formula

a(n) = A046645(n) - A007949(n).

a(n) = A007814(A317932(n)).

Prog

(PARI)
A007949(n) = valuation(n, 3);
A005187(n) = { my(s=n); while(n>>=1, s+=n); s; };
A046645(n) = vecsum(apply(e -> A005187(e), factor(n)[, 2]));
A305439(n) = A046645(n) - A007949(n);

Crossrefs

Cf. A007814, A007949, A046645, A317932.

Cf. also A318440.

Sequence in context: A079619 A318577 A157603 * A270825 A364096 A348028

Adjacent sequences: A305436 A305437 A305438 * A305440 A305441 A305442

Keyword

nonn

Author

Antti Karttunen, Sep 02 2018

Status

approved