A123667 a(n) = n * 2^bigomega(n).

1, 4, 6, 16, 10, 24, 14, 64, 36, 40, 22, 96, 26, 56, 60, 256, 34, 144, 38, 160, 84, 88, 46, 384, 100, 104, 216, 224, 58, 240, 62, 1024, 132, 136, 140, 576, 74, 152, 156, 640, 82, 336, 86, 352, 360, 184, 94, 1536, 196, 400, 204, 416, 106, 864, 220, 896, 228, 232, 118

Offset

1,2

Comments

Rearrangement of A123666.

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

Formula

Totally multiplicative with a(p) = 2p, p prime.

a(n) = n * A061142(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 2 * p^(1 - s)). - Ilya Gutkovskiy, Oct 29 2019

Maple

A123667:=n->n*2^numtheory[bigomega](n): seq(A123667(n), n=1..100); # Wesley Ivan Hurt, Apr 09 2017

Mathematica

Table[n*2^PrimeOmega[n], {n, 60}] (* Harvey P. Dale, Jun 11 2014 *)

Prog

(PARI) a(n) = n*2^bigomega(n); \\ Michel Marcus, Apr 10 2017

Crossrefs

Cf. A061142, A001222 (bigomega), A123666.

Sequence in context: A248591 A333140 A141042 * A129597 A088843 A154784

Adjacent sequences: A123664 A123665 A123666 * A123668 A123669 A123670

Keyword

nonn,mult

Author

Franklin T. Adams-Watters, Oct 04 2006

Status

approved