id:A021006 - OEIS Search Results

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Pisot sequence P(4,11), a(0)=4, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1). Evidently satisfies a(n)=2a(n-1)+2a(n-2).

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4, 11, 30, 82, 224, 612, 1672, 4568, 12480, 34096, 93152, 254496, 695296, 1899584, 5189760, 14178688, 38736896, 105831168, 289136128, 789934592, 2158141440, 5896152064, 16108587008, 44009478144, 120236130304 (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.: (4+3x)/(1-2x-2x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 19 2008]` `a(n)=(7/6)sqrt(3)[1+sqrt(3)]^n-[1-sqrt(3)]^n}+2*{[1+sqrt(3)]^n+[1-sqrt(3)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Dec 01 2008]`
	CROSSREFS	`Sequence in context: A128098 A019495 A019496 this_sequence A078141 A090327 A104743` `Adjacent sequences: A021003 A021004 A021005 this_sequence A021007 A021008 A021009`
	KEYWORD	`nonn`
	AUTHOR	`R. K. Guy (rkg(AT)cpsc.ucalgary.ca)`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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