id:A083879 - OEIS Search Results

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a(0)=1, a(1)=4, a(n)=8a(n-1)-14a(n-2), n>=2.

+0
3

1, 4, 18, 88, 452, 2384, 12744, 68576, 370192, 2001472, 10829088, 58612096, 317289536, 1717746944, 9299922048, 50350919168, 272608444672, 1475954689024, 7991119286784, 43265588647936, 234249039168512, 1268274072276992 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A083878`
	FORMULA	`a(n)=2^((n-2)/2)(2sqrt(2)-1)^n+2^((n-2)/2)(2sqrt(2)+1)^n; a(n)=Sum{k=0..n; C(n, 2k)5^(n-2k)2^k }; G.f.: (1-4x)/(1-8x+14x^2); E.g.f.: exp(4x)cosh(x*sqrt(2)).`
	CROSSREFS	`Cf. A083880.` `Sequence in context: A130524 A083325 A050146 this_sequence A081671 A006629 A068764` `Adjacent sequences: A083876 A083877 A083878 this_sequence A083880 A083881 A083882`
	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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