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Search: id:A092978
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| A092978 |
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(Product of first n even numbers)/(product of first k odd numbers) where k is chosen to give the least integer. |
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+0
1
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| 2, 8, 16, 128, 256, 3072, 6144, 98304, 196608, 3932160, 7864320, 188743680, 25165824, 704643072, 21139292160, 676457349120, 1352914698240, 48704929136640, 4638564679680, 185542587187200, 7792788661862400
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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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
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EXAMPLE
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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.
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CROSSREFS
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Sequence in context: A100736 A099888 A046161 this_sequence A101059 A101658 A006573
Adjacent sequences: A092975 A092976 A092977 this_sequence A092979 A092980 A092981
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 27 2004
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EXTENSIONS
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More terms from Mark Hudson (mrmarkhudson(AT)hotmail.com), Jul 23 2004
Corrected and extended by Sam Handler (sam_5_5_5_0(AT)yahoo.com), Oct 23 2004
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