id:A098663 - OEIS Search Results

Search: id:A098663

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Sum k=0..n, binomial(n,k)binomial(n+1,k+1)3^k.

+0
2

1, 5, 30, 193, 1286, 8754, 60460, 421985, 2968902, 21019510, 149572292, 1068795930, 7664092060, 55121602436, 397464604440, 2872406652001, 20799171328070, 150869330458830, 1096046132412628, 7973709600124958 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Fourth binomial transform of A098662.`
	FORMULA	`G.f.: ((1+2x)-sqrt(1-8x+4x^2))/(6xsqrt(1-8x+4x^2)); E.g.f.: exp(4x)(BesselI(0, 2sqrt(3)x)+BesselI(1, 2sqrt(3)x)/sqrt(3)).`
	CROSSREFS	`Sequence in context: A006773 A059273 A038744 this_sequence A034164 A103433 A081015` `Adjacent sequences: A098660 A098661 A098662 this_sequence A098664 A098665 A098666`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 20 2004`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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