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Search: id:A062029
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| A062029 |
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Group even numbers into 2, (4,6), (8,10,12), (14,16,18,20),...; a(n) = product of n-th group. |
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| 2, 24, 960, 80640, 11531520, 2500485120, 763847884800, 312344808652800, 164644289755545600, 108684799028822016000, 87805845811395506995200, 85211145316323008446464000, 97803969545162680178835456000
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OFFSET
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1,1
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FORMULA
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a(n) = Product_{k=1..n} (n^2-n+2*k) = (n^2+n)!!/(n^2-n)!! = 2^n*GAMMA(1+1/2*n+1/2*n^2)/GAMMA(1-1/2*n+1/2*n^2).
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EXAMPLE
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a(3) =8*10*12 = 960.
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CROSSREFS
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2^n * A057003(n-1).
Sequence in context: A002032 A015212 A012228 this_sequence A122551 A136524 A137887
Adjacent sequences: A062026 A062027 A062028 this_sequence A062030 A062031 A062032
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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), Jun 02 2001
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EXTENSIONS
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Formula and more terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 05 2001
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