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A130675 Factorial of bigomega(n). 3
1, 1, 1, 2, 1, 2, 1, 6, 2, 2, 1, 6, 1, 2, 2, 24, 1, 6, 1, 6, 2, 2, 1, 24, 2, 2, 6, 6, 1, 6, 1, 120, 2, 2, 2, 24, 1, 2, 2, 24, 1, 6, 1, 6, 6, 2, 1, 120, 2, 6, 2, 6, 1, 24, 2, 24, 2, 2, 1, 24, 1, 2, 6, 720, 2, 6, 1, 6, 2, 6, 1, 120, 1, 2, 6, 6, 2, 6, 1, 120, 24, 2, 1, 24, 2, 2, 2, 24, 1, 24 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

a(n) = 1 iff n=1 or n is prime. - Wesley Ivan Hurt, Jun 05 2014

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000

Index entries for sequences computed from exponents in factorization of n

FORMULA

a(n) = A000142(A001222(n)).

MATHEMATICA

PrimeOmega[Range[90]]! (* Harvey P. Dale, Nov 14 2011 *)

PROG

(PARI) A130675(n) = bigomega(n)! \\ Antti Karttunen, Jul 07 2017

CROSSREFS

Cf. A000142, A001222, A086568.

Sequence in context: A186726 A205405 A112623 * A319118 A163820 A284465

Adjacent sequences:  A130672 A130673 A130674 * A130676 A130677 A130678

KEYWORD

nonn,easy

AUTHOR

Giovanni Teofilatto, Aug 12 2007

EXTENSIONS

A 16 split into 1,6, a 21 split into 2,1, a(1) replaced by 1, and definition clarified by R. J. Mathar, Aug 23 2010

STATUS

approved

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Last modified May 10 02:36 EDT 2021. Contains 343747 sequences. (Running on oeis4.)