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A166628 Totally multiplicative sequence with a(p) = 7p for prime p. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A073250 A159453 A266651 * A199250 A199195 A291618

Adjacent sequences:  A166625 A166626 A166627 * A166629 A166630 A166631

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Oct 18 2009

STATUS

approved

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Last modified January 19 09:35 EST 2020. Contains 331048 sequences. (Running on oeis4.)