id:A116400 - OEIS Search Results

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E.g.f. Bessel_I(2,2x)+Bessel_I(3,2x)+Bessel_I(4,2x).

+0
1

0, 0, 1, 1, 5, 5, 21, 21, 84, 84, 330, 330, 1287, 1287, 5005, 5005, 19448, 19448, 75582, 75582, 293930, 293930, 1144066, 1144066, 4457400, 4457400, 17383860, 17383860, 67863915, 67863915, 265182525 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`T(n,2) in number triangle A116399. Double of A002054.`
	FORMULA	`G.f.: (1+x)x^2c(x^2)^4/(2-c(x^2)), c(x) the g.f. of A000108; a(n)=C(n+1,n/2-1)(1+(-1)^n)/2 + C(n,(n-1)/2-1)(1-(-1)^n)/2.`
	PROGRAM	`(PARI) a(n)=n=n\2; binomial(2*n+1, n-1)`
	CROSSREFS	`A002054(n)=a(2n)=a(2n+1).` `Sequence in context: A127513 A091260 A146043 this_sequence A052992 A147254 A007028` `Adjacent sequences: A116397 A116398 A116399 this_sequence A116401 A116402 A116403`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 13 2006`

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.

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