id:A115903 - OEIS Search Results

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Expansion of (1-12x)^(-3/2).

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1, 18, 270, 3780, 51030, 673596, 8756748, 112586760, 1435481190, 18182761740, 229102797924, 2874198737592, 35927484219900, 447711726432600, 5564417171376600, 68998772925069840, 853859814947739270 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: 1/((1-12x)sqrt(1-12x)); a(n)=Jacobi_P(n,1/2,1/2,1)12^n; a(n)=3^n(2n+1)binomial(2n,n)=3^nA002457(n); a(n)=(2n+1)*A098658(n).`
	CROSSREFS	`Sequence in context: A080583 A076693 A083445 this_sequence A004357 A035119 A098303` `Adjacent sequences: A115900 A115901 A115902 this_sequence A115904 A115905 A115906`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 02 2006`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

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