id:A048577 - OEIS Search Results

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Pisot sequence L(3,4).

+0
3

3, 4, 6, 9, 14, 22, 35, 56, 90, 145, 234, 378, 611, 988, 1598, 2585, 4182, 6766, 10947, 17712, 28658, 46369, 75026, 121394, 196419, 317812, 514230, 832041, 1346270, 2178310, 3524579, 5702888, 9227466, 14930353, 24157818, 39088170, 63245987, 102334156, 165580142 (list; graph; listen)

	OFFSET	`0,1`
	FORMULA	`a(n) = Fib(n+3)+1. a(n) = 2a(n-1) - a(n-3).` `a(n)=1+[1/2+(1/2)sqrt(5)]^n+(2/5)[1/2+(1/2)sqrt(5)]^nsqrt(5)-(2/5)sqrt(5)[1/2-(1/2) sqrt(5)]^n+[1/2-(1/2)sqrt(5)]^n, with n>0=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 10 2008` `a(n)=A020706(n-1), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 15 2008]`
	CROSSREFS	`Subsequence of A001611. See A008776 for definitions of Pisot sequences.` `Sequence in context: A030712 A025000 A147790 this_sequence A107340 A018830 A102934` `Adjacent sequences: A048574 A048575 A048576 this_sequence A048578 A048579 A048580`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net)`

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

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