A153511 - OEIS

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A153511

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).

4, 32, 512, 12288, 393216, 15728640, 754974720, 42278584320, 2705829396480, 194819716546560, 15585577323724800, 1371530804487782400, 131666957230827110400, 13693363552006019481600 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`A binomial sequence that produces Pi: 1/Pi= Binomial[2n+1,n+1/2]/(2n+1)!!`
	FORMULA	`a(n)=(2n + 1)!!PiGamma[2n + 2]/(Gamma[n + 3/2]^2)=4*A051189(n).`
	MATHEMATICA	`Table[(2n + 1)!!PiGamma[2n + 2]/(Gamma[n + 3/2]^2), {n, 0, 20}]`
	CROSSREFS	`A051189` `Sequence in context: A093581 A102557 A144935 * A140179 A118990 A036442` `Adjacent sequences: A153508 A153509 A153510 * A153512 A153513 A153514`
	KEYWORD	`nonn`
	AUTHOR	`Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Dec 28 2008`

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Last modified February 17 23:58 EST 2012. Contains 206085 sequences.