A292251 The 3-adic valuation of A048673(n).

0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 4, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0

Offset

1,13

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Formula

a(n) = A007814(1+A292250(n)).

a(n) = A007949(A048673(n)).

a(n) = A007949(3*A048673(n)) - 1.

a(n) = A292252(2n)-1.

Mathematica

IntegerExponent[#, 3] & /@ Table[(Times @@ Power[If[# == 1, 1, NextPrime@ #] & /@ First@ #, Last@ #] + 1)/2 &@ Transpose@ FactorInteger@ n, {n, 120}] (* Michael De Vlieger, Sep 12 2017 *)

Crossrefs

One less than the even bisection of A292252.

Cf. A007814, A007949, A048673, A292250.

Cf. also A292241, A292261.

Sequence in context: A258764 A109083 A256812 * A231715 A137678 A359893

Adjacent sequences: A292248 A292249 A292250 * A292252 A292253 A292254

Keyword

nonn

Author

Antti Karttunen, Sep 12 2017

Status

approved