Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A056124
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A056124 a(n)=3a(n-1)-a(n-2)+8; a(0)=1, a(1)=11. +0
1
1, 11, 40, 117, 319, 848, 2233, 5859, 15352, 40205, 105271, 275616, 721585, 1889147, 4945864, 12948453, 33899503, 88750064, 232350697, 608302035, 1592555416, 4169364221, 10915537255, 28577247552, 74816205409 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)={{19*[((3+sqrt(5))/2)^n - ((3-sqrt(5))/2)^n]-9*[((3+sqrt(5))/2)^(n-1) - ((3-sqrt(5))/2)^(n-1)]}/sqrt(5)} - 8.

G.f.(x)=(1+7x)/(1-x)(1-3x+x^2).

Fibonacci(2n+5) + 2*Lucas(2n) - 8.

CROSSREFS

Cf. A055850.

Sequence in context: A147296 A059142 A064798 this_sequence A064768 A135719 A089776

Adjacent sequences: A056121 A056122 A056123 this_sequence A056125 A056126 A056127

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jul 07 2000

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


AT&T Labs Research