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A165848 Totally multiplicative sequence with a(p) = 27. 1
1, 27, 27, 729, 27, 729, 27, 19683, 729, 729, 27, 19683, 27, 729, 729, 531441, 27, 19683, 27, 19683, 729, 729, 27, 531441, 729, 729, 19683, 19683, 27, 19683, 27, 14348907, 729, 729, 729, 531441, 27, 729, 729, 531441, 27, 19683, 27, 19683, 19683 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000[Terms 1 through 1000 were computed by Vincenzo Librandi; terms 1001 to 10000 by G. C. Greubel, Apr 13 2016]

FORMULA

a(n) = A009971(A001222(n)) = 27^bigomega(n) = 27^A001222(n).

MATHEMATICA

27^PrimeOmega[Range[50]] (* Harvey P. Dale, Apr 20 2014 *)

PROG

(PARI) a(n) = 27^bigomega(n); \\ Altug Alkan, Apr 13 2016

(MAGMA) [n eq 1 select 1 else 27^(&+[p[2]: p in Factorization(n)]): n in [1..100]]; // Vincenzo Librandi, Apr 14 2016

CROSSREFS

Cf. A001222, A009971.

Sequence in context: A238370 A056131 A253102 * A031957 A258267 A332927

Adjacent sequences:  A165845 A165846 A165847 * A165849 A165850 A165851

KEYWORD

nonn,mult

AUTHOR

Jaroslav Krizek, Sep 28 2009

STATUS

approved

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Last modified March 28 11:49 EDT 2020. Contains 333083 sequences. (Running on oeis4.)