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A181591 a(n) = binomial(bigOmega(n),omega(n)), where omega = A001221 and bigOmega = A001222. 7
1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 3, 1, 1, 1, 4, 1, 3, 1, 3, 1, 1, 1, 6, 2, 1, 3, 3, 1, 1, 1, 5, 1, 1, 1, 6, 1, 1, 1, 6, 1, 1, 1, 3, 3, 1, 1, 10, 2, 3, 1, 3, 1, 6, 1, 6, 1, 1, 1, 4, 1, 1, 3, 6, 1, 1, 1, 3, 1, 1, 1, 10, 1, 1, 3, 3, 1, 1, 1, 10, 4, 1, 1, 4, 1, 1, 1, 6, 1, 4, 1, 3, 1, 1, 1, 15, 1, 3, 3, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..10000

Index entries for sequences computed from exponents in factorization of n

FORMULA

a(n) = A007318(A001222(n),A001221(n)).

a(n) = A088529(n) = A136565(n) for 2 <= n < 24.

a(n) = A136277(A156552(n)). - Antti Karttunen, May 29 2017

MATHEMATICA

a[n_] := Binomial[PrimeOmega[n], PrimeNu[n]]; Table[a[n], {n, 1, 100}] (* Jean-Fran├žois Alcover, Jun 29 2013 *)

CROSSREFS

Cf. A001221, A001222, A007318, A136277.

Cf. A088529, A136565 (equal for n = 2..23).

Sequence in context: A088529 A267116 A136565 * A318586 A222580 A316978

Adjacent sequences:  A181588 A181589 A181590 * A181592 A181593 A181594

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Nov 01 2010

STATUS

approved

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Last modified July 15 16:09 EDT 2019. Contains 325049 sequences. (Running on oeis4.)