id:A048575 - OEIS Search Results

Search: id:A048575

Displaying 1-1 of 1 results found.

page 1

Pisot sequences L(2,5), E(2,5).

+0
1

2, 5, 13, 34, 89, 233, 610, 1597, 4181, 10946, 28657, 75025, 196418, 514229, 1346269, 3524578, 9227465, 24157817, 63245986, 165580141, 433494437, 1134903170, 2971215073, 7778742049, 20365011074, 53316291173, 139583862445, 365435296162, 956722026041 (list; graph; listen)

	OFFSET	`0,1`
	LINKS	`Index entries for sequences related to linear recurrences with constant coefficients` `Tanya Khovanova, Recursive Sequences`
	FORMULA	`a(n) = Fib(2n+3). a(n) = 3a(n-1) - a(n-2).` `G.f.: (2-x)/(1-3x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 16 2008]` `a(n)=[(3/2)+(1/2)sqrt(5)]^n+(2/5)[(3/2)+(1/2)sqrt(5)]^nsqrt(5)-(2/5)[(3/2)-(1/2)sqrt(5)]^n sqrt(5)+[(3/2)-(1/2)sqrt(5)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 20 2008]`
	CROSSREFS	`Subsequence of A001519. See A008776 for definitions of Pisot sequences.` `Sequence in context: A011783 A122367 A001519 this_sequence A099496 A114299 A112842` `Adjacent sequences: A048572 A048573 A048574 this_sequence A048576 A048577 A048578`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net)`

page 1

Search completed in 0.002 seconds

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

AT&T Labs Research