id:A025169 - OEIS Search Results

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a(n)=2F(2n+2), where F=A000045 (the Fibonacci sequence).

+0
7

2, 6, 16, 42, 110, 288, 754, 1974, 5168, 13530, 35422, 92736, 242786, 635622, 1664080, 4356618, 11405774, 29860704, 78176338, 204668310, 535828592, 1402817466, 3672623806, 9615053952, 25172538050, 65902560198, 172535142544 (list; graph; listen)

	OFFSET	`0,1`
	LINKS	`Index entries for sequences related to linear recurrences with constant coefficients` `Tanya Khovanova, Recursive Sequences`
	FORMULA	`G.f.: 2/(1-3x+x^2). a(n)=3a(n-1)-a(n-2).`
	PROGRAM	`(PARI) a(n)=2fibonacci(2n+2)` `(Other) sage: [lucas_number2(n, 2, 1)*lucas_number1(n, 3, 1) for n in xrange(1, 28)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 15 2009]`
	CROSSREFS	`A025169(n)=2*A001906(n+1).` `Sequence in context: A152089 A102699 A156664 this_sequence A111282 A115730 A003142` `Adjacent sequences: A025166 A025167 A025168 this_sequence A025170 A025171 A025172`
	KEYWORD	`nonn,new`
	AUTHOR	`w.meeussen (wouter.meeussen(AT)pandora.be)`
	EXTENSIONS	`Better description from Michael Somos`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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