A166628 Totally multiplicative sequence with a(p) = 7p for prime p.

1, 14, 21, 196, 35, 294, 49, 2744, 441, 490, 77, 4116, 91, 686, 735, 38416, 119, 6174, 133, 6860, 1029, 1078, 161, 57624, 1225, 1274, 9261, 9604, 203, 10290, 217, 537824, 1617, 1666, 1715, 86436, 259, 1862, 1911, 96040, 287, 14406, 301, 15092, 15435

Offset

1,2

Links

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

Formula

Multiplicative with a(p^e) = (7p)^e.

If n = Product p(k)^e(k) then a(n) = Product (7*p(k))^e(k).

a(n) = n * A165828(n) = n * 7^bigomega(n) = n * 7^A001222(n).

Dirichlet g.f.: Product_{p prime} 1 / (1 - 7 * p^(1 - s)). - Ilya Gutkovskiy, Oct 30 2019

Mathematica

Table[n*7^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, May 19 2016 *)

Crossrefs

Cf. A001222, A165828.

Sequence in context: A159453 A266651 A351689 * A199250 A199195 A373611

Adjacent sequences: A166625 A166626 A166627 * A166629 A166630 A166631

Keyword

nonn,mult

Author

Jaroslav Krizek, Oct 18 2009

Status

approved