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A092978 (Product of first n even numbers)/(product of first k odd numbers) where k is chosen to give the least integer. 0

%I #4 Dec 05 2013 19:56:46

%S 2,8,16,128,256,3072,6144,98304,196608,3932160,7864320,188743680,

%T 25165824,704643072,21139292160,676457349120,1352914698240,

%U 48704929136640,4638564679680,185542587187200,7792788661862400

%N (Product of first n even numbers)/(product of first k odd numbers) where k is chosen to give the least integer.

%F For n even, a(n+1)=2*a(n); for n odd, a(n+1)=2(n+1)*a(n). For n even, a(n)=[2^(3n/2)]*(n/2)!; for n odd, a(n)=[2^( (3n-1)/2)]*((n-1)/2)!. - Mark Hudson (mrmarkhudson(AT)hotmail.com), Jul 23 2004

%e a(5) = 256 = (2*4*6*8*10)/(1*3*5) as (2*4*6*8*10)/(1*3*5*7) is not an integer, here k = 3.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Mar 27 2004

%E More terms from Mark Hudson (mrmarkhudson(AT)hotmail.com), Jul 23 2004

%E Corrected and extended by Sam Handler (sam_5_5_5_0(AT)yahoo.com), Oct 23 2004

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Last modified April 25 05:55 EDT 2024. Contains 371964 sequences. (Running on oeis4.)