id:A084130 - OEIS Search Results

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

+0
3

1, 4, 24, 160, 1088, 7424, 50688, 346112, 2363392, 16138240, 110198784, 752484352, 5138284544, 35086401536, 239584935936, 1635988275200, 11171226714112, 76281907511296, 520885446377472, 3556828310929408, 24287542916415488 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A001541.`
	FORMULA	`a(n)=(4+sqrt(8))^n/2+(4-sqrt(8))^n/2; G.f.: (1-4x)/(1-8x+8x^2); E.g.f.: exp(4x)cosh(sqrt(8)x).`
	PROGRAM	`(PARI) {a(n)= if(n<0, 0, real((4+ 2*quadgen(8))^n))}`
	CROSSREFS	`Cf. A084131.` `Sequence in context: A091166 A078108 A117337 this_sequence A059304 A069722 A027079` `Adjacent sequences: A084127 A084128 A084129 this_sequence A084131 A084132 A084133`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 16 2003`

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.

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