id:A083882 - OEIS Search Results

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a(0)=1, a(1)=4, a(n)=8a(n-1)-13a(n-2), n>=2.

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1, 4, 19, 100, 553, 3124, 17803, 101812, 583057, 3340900, 19147459, 109747972, 629066809, 3605810836, 20668618171, 118473404500, 679095199777, 3892607339716, 22312621120627, 127897073548708, 733112513821513 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A083881.`
	FORMULA	`a(n)=((4-sqrt(3))^n+(4+sqrt(3))^n)/2; a(n)=sum{k=0..floor(n/2); C(n, 2k)4^(n-2k)3^k }; G.f.: (1-4x)/(1-8x+13x^2); E.g.f.: exp(4x)cosh(x*sqrt(3)).`
	CROSSREFS	`Sequence in context: A025573 A006194 A047099 this_sequence A007564 A086624 A078940` `Adjacent sequences: A083879 A083880 A083881 this_sequence A083883 A083884 A083885`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 08 2003`

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.

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