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Search: id:A123130
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| A123130 |
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a(n)=2^(n-1)*((2n)!/n!)*integral(t=0,Pi/3,sin(t)^(2n-1)dt). |
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+0
1
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| 1, 5, 53, 867, 19239, 539925, 18338445, 731412675, 33511100175, 1734534350325, 100101650876325, 6373296156687075, 443776641732321975, 33548286541938693525, 2736444872641087532925, 239549584572054489607875
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OFFSET
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1,2
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COMMENT
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Always an odd integer.
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FORMULA
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a(n)=2^(n-1)*((2n)!/n!)*J(n) where J(n)=integral(t=0,Pi/3,sin(t)^(2n-1)dt) is given by the order 2 recursion : J(1)=1/2, J(2)=5/24, J(n)=1/(8*n-4)*((14*n-17)*J(n-1)-6*(n-2)*J(n-1))
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CROSSREFS
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Sequence in context: A036916 A118583 A090360 this_sequence A094089 A128943 A113068
Adjacent sequences: A123127 A123128 A123129 this_sequence A123131 A123132 A123133
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (abmt(AT)orange.fr), Sep 30 2006
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