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Search: id:A153511
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| A153511 |
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A sequence based on Binomial[2*n+1,n+1/2]: a(n)=(2*n + 1)!!*Pi*Gamma[2*n + 2]/(Gamma[n + 3/2]^2)=4*A051189(n). |
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| 4, 32, 512, 12288, 393216, 15728640, 754974720, 42278584320, 2705829396480, 194819716546560, 15585577323724800, 1371530804487782400, 131666957230827110400, 13693363552006019481600
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OFFSET
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0,1
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COMMENT
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A binomial sequence that produces Pi: 1/Pi= Binomial[2*n+1,n+1/2]/(2*n+1)!!
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FORMULA
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a(n)=(2*n + 1)!!*Pi*Gamma[2*n + 2]/(Gamma[n + 3/2]^2)=4*A051189(n).
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MATHEMATICA
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Table[(2*n + 1)!!*Pi*Gamma[2*n + 2]/(Gamma[n + 3/2]^2), {n, 0, 20}]
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CROSSREFS
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A051189
Sequence in context: A093581 A102557 A144935 this_sequence A140179 A118990 A036442
Adjacent sequences: A153508 A153509 A153510 this_sequence A153512 A153513 A153514
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Dec 28 2008
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