login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A005834 a(n) = floor( tau*a(n-2) ) + a(n-1) where tau is the golden ratio. 1
0, 2, 2, 5, 8, 16, 28, 53, 98, 183, 341, 637, 1188, 2218, 4140, 7728, 14426, 26930, 50271, 93844, 175184, 327026, 610479, 1139618, 2127393, 3971333, 7413527, 13839278, 25834616, 48227038, 90028324 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

P. Flajolet et al., Mellin Transforms And Asymptotics: Digital Sums, Theoret. Computer Sci. 23 (1994), 291-314.

MATHEMATICA

a[n_] := a[n] = Floor[GoldenRatio*a[n-2]] + a[n-1]; a[0] = 0; a[1] = 2; a[2] = 2; a /@ Range[0, 30]

(* From Jean-François Alcover, Jun 30 2011 *)

CROSSREFS

Sequence in context: A042982 A006367 A077902 * A052531 A095005 A019086

Adjacent sequences:  A005831 A005832 A005833 * A005835 A005836 A005837

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 16 14:07 EST 2012. Contains 205930 sequences.