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%I A181591 #19 Jul 10 2022 09:43:46
%S A181591 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,
%T A181591 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,
%U A181591 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
%N A181591 a(n) = binomial(bigOmega(n),omega(n)), where omega = A001221 and bigOmega = A001222.
%H A181591 Reinhard Zumkeller, <a href="/A181591/b181591.txt">Table of n, a(n) for n = 1..10000</a>
%H A181591 <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>
%F A181591 a(n) = A007318(A001222(n),A001221(n)).
%F A181591 a(n) = A088529(n) = A136565(n) for 2 <= n < 24.
%F A181591 a(n) = A136277(A156552(n)). - _Antti Karttunen_, May 29 2017
%t A181591 a[n_] := Binomial[PrimeOmega[n], PrimeNu[n]]; Table[a[n], {n, 1, 100}] (* _Jean-François Alcover_, Jun 29 2013 *)
%o A181591 (PARI) a(n) = binomial(bigomega(n), omega(n)); \\ _Michel Marcus_, Jul 10 2022
%Y A181591 Cf. A001221, A001222, A007318, A136277.
%Y A181591 Cf. A088529, A136565 (equal for n = 2..23).
%K A181591 nonn
%O A181591 1,4
%A A181591 _Reinhard Zumkeller_, Nov 01 2010

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