id:A055273 - OEIS Search Results

Search: id:A055273

Displaying 1-1 of 1 results found.

page 1

a(n)=3a(n-1)-a(n-2); a(0)=1, a(1)=8.

+0
1

1, 8, 23, 61, 160, 419, 1097, 2872, 7519, 19685, 51536, 134923, 353233, 924776, 2421095, 6338509, 16594432, 43444787, 113739929, 297775000, 779585071, 2040980213, 5343355568, 13989086491, 36623903905, 95882625224 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pps. 194-196.`
	LINKS	`Tanya Khovanova, Recursive Sequences`
	FORMULA	`a(n)={8*[((3+sqrt(5))/2)^n-((3-sqrt(5))/2)^n]-[((3+sqrt(5))/2)^(n-1)-((3-sqrt(5))/2)^(n-1)]/sqrt(5).`
	EXAMPLE	`G.f.(x)=(1+5x)/(1-3x+x^2)`
	CROSSREFS	`Cf. A055267.` `Adjacent sequences: A055270 A055271 A055272 this_sequence A055274 A055275 A055276` `Sequence in context: A048467 A002765 A048770 this_sequence A059209 A099274 A036562`
	KEYWORD	`easy,nonn`
	AUTHOR	`Barry E. Williams, May 28 2000`

page 1

Search completed in 0.002 seconds

Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

AT&T Labs Research