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A005834 a(n) = floor( tau*a(n-2) ) + a(n-1) where tau is the golden ratio. 2
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; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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]

(* Jean-Fran├žois Alcover, Jun 30 2011 *)

CROSSREFS

Sequence in context: A006367 A246807 A077902 * A052531 A257517 A095005

Adjacent sequences:  A005831 A005832 A005833 * A005835 A005836 A005837

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 16 00:50 EDT 2018. Contains 316252 sequences. (Running on oeis4.)