

A166627


Totally multiplicative sequence with a(p) = 6p for prime p.


1



1, 12, 18, 144, 30, 216, 42, 1728, 324, 360, 66, 2592, 78, 504, 540, 20736, 102, 3888, 114, 4320, 756, 792, 138, 31104, 900, 936, 5832, 6048, 174, 6480, 186, 248832, 1188, 1224, 1260, 46656, 222, 1368, 1404, 51840, 246, 9072, 258, 9504, 9720, 1656, 282
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OFFSET

1,2


LINKS

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


FORMULA

Multiplicative with a(p^e) = (6p)^e.
If n = Product p(k)^e(k) then a(n) = Product (6*p(k))^e(k).
a(n) = n * A165827(n) = n * 6^bigomega(n) = n * 6^A001222(n).
Dirichlet g.f.: Product_{p prime} 1 / (1  6 * p^(1  s)).  Ilya Gutkovskiy, Oct 30 2019


MATHEMATICA

Table[n*6^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, May 19 2016 *)


PROG

(PARI) a(n) = n*6^bigomega(n); \\ Michel Marcus, May 19 2016


CROSSREFS

Cf. A001222, A165827.
Sequence in context: A086301 A231094 A258427 * A018957 A238922 A212128
Adjacent sequences: A166624 A166625 A166626 * A166628 A166629 A166630


KEYWORD

nonn,mult


AUTHOR

Jaroslav Krizek, Oct 18 2009


STATUS

approved



