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 A181591 a(n) = binomial(bigOmega(n),omega(n)), where omega = A001221 and bigOmega = A001222. 15
 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 Reinhard 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-François Alcover, Jun 29 2013 *) PROG (PARI) a(n) = binomial(bigomega(n), omega(n)); \\ Michel Marcus, Jul 10 2022 CROSSREFS Cf. A001221, A001222, A007318, A136277. Cf. A088529, A136565 (equal for n = 2..23). Sequence in context: A088529 A267116 A136565 * A347442 A336424 A353236 Adjacent sequences: A181588 A181589 A181590 * A181592 A181593 A181594 KEYWORD nonn AUTHOR Reinhard Zumkeller, Nov 01 2010 STATUS approved

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Last modified February 21 22:50 EST 2024. Contains 370239 sequences. (Running on oeis4.)