A020704 - OEIS

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A020704

Pisot sequences E(3,10), P(3,10).

3, 10, 33, 109, 360, 1189, 3927, 12970, 42837, 141481, 467280, 1543321, 5097243, 16835050, 55602393, 183642229, 606529080, 2003229469, 6616217487, 21851881930, 72171863277, 238367471761, 787274278560, 2600190307441, 8587845200883, 28363725910090 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	LINKS	`Tanya Khovanova, Recursive Sequences`
	FORMULA	`a(n) = 3a(n-1) + a(n-2) (holds at least up to n = 1000).`
	MATHEMATICA	`a=0; b=1; Table[c=a+b; a=b; b=a+b+c, {n, 0, 40}] (From Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), 22 Nov 2010)`
	CROSSREFS	`Subsequence of A006190. See A008776 for definitions of Pisot sequences.` `Sequence in context: A060557 A018920 A006190 * A113299 A126931 A071722` `Adjacent sequences: A020701 A020702 A020703 * A020705 A020706 A020707`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net)`

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Last modified February 17 09:41 EST 2012. Contains 206009 sequences.