A166630 Totally multiplicative sequence with a(p) = 9p for prime p.

1, 18, 27, 324, 45, 486, 63, 5832, 729, 810, 99, 8748, 117, 1134, 1215, 104976, 153, 13122, 171, 14580, 1701, 1782, 207, 157464, 2025, 2106, 19683, 20412, 261, 21870, 279, 1889568, 2673, 2754, 2835, 236196, 333, 3078, 3159, 262440, 369, 30618, 387

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (9p)^e.

If n = Product p(k)^e(k) then a(n) = Product (9*p(k))^e(k).

a(n) = n * A165830(n) = n * 9^bigomega(n) = n * 9^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 9 * p^(1 - s)). - Ilya Gutkovskiy, Oct 30 2019

Mathematica

Table[n*9^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, May 19 2016 *)

Crossrefs

Cf. A001222, A165830.

Sequence in context: A038632 A138336 A349485 * A154920 A094224 A128858

Adjacent sequences: A166627 A166628 A166629 * A166631 A166632 A166633

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved