A166629 Totally multiplicative sequence with a(p) = 8p for prime p.

1, 16, 24, 256, 40, 384, 56, 4096, 576, 640, 88, 6144, 104, 896, 960, 65536, 136, 9216, 152, 10240, 1344, 1408, 184, 98304, 1600, 1664, 13824, 14336, 232, 15360, 248, 1048576, 2112, 2176, 2240, 147456, 296, 2432, 2496, 163840, 328, 21504, 344, 22528

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

Multiplicative with a(p^e) = (8p)^e.

If n = Product p(k)^e(k) then a(n) = Product (8*p(k))^e(k).

a(n) = n * A165829(n) = n * 8^bigomega(n) = n * 8^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 8 * p^(1 - s)). - Ilya Gutkovskiy, Oct 30 2019

Mathematica

Table[n*8^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, May 19 2016 *)

Prog

(PARI) a(n) = n*8^bigomega(n); \\ Michel Marcus, Oct 30 2019

Crossrefs

Cf. A001222, A165829.

Sequence in context: A335296 A358447 A120468 * A066261 A256526 A243914

Adjacent sequences: A166626 A166627 A166628 * A166630 A166631 A166632

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved