id:A084132 - OEIS Search Results

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a(n)=4a(n-1)+6a(n-2), a(0)=1,a(1)=2.

+0
2

1, 2, 14, 68, 356, 1832, 9464, 48848, 252176, 1301792, 6720224, 34691648, 179087936, 924501632, 4772534144, 24637146368, 127183790336, 656558039552, 3389334900224, 17496687838208, 90322760754176, 466271170045952 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A002535.`
	FORMULA	`a(n)=(2+sqrt(10))^n/2+(2-sqrt(10))^n/2; G.f.: (1-2x)/(1-4x-6x^2); E.g.f. : exp(2x)cosh(sqrt(10)x).`
	CROSSREFS	`Cf. A005667.` `Sequence in context: A058738 A095376 A109869 this_sequence A084770 A086243 A072888` `Adjacent sequences: A084129 A084130 A084131 this_sequence A084133 A084134 A084135`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 16 2003`

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

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