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A005908 a(n) = [ tau*a(n-1) ] + [ tau*a(n-2) ]. 1
0, 1, 1, 2, 4, 9, 20, 46, 106, 245, 567, 1313, 3041, 7044, 16317, 37798, 87559, 202831, 469860, 1088436, 2521375, 5840796, 13530276, 31343052, 72606569, 168194019, 389623535, 902567761, 2090809436, 4843386045 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

FORMULA

Lim n -> infinity a(n)/a(n-1) = Phi / C = 2.31651242917313... where Phi is the golden ratio and C the positive root of x^4+x^3+-2x^2-2x-1 (C=0.6984784404...) - Benoit Cloitre, Aug 13 2002

MATHEMATICA

nxt[{a_, b_}]:={b, Floor[GoldenRatio*a]+Floor[GoldenRatio*b]}; Transpose[ NestList[ nxt, {0, 1}, 30]][[1]] (* Harvey P. Dale, Apr 24 2016 *)

CROSSREFS

Sequence in context: A191653 A191827 A000968 * A206119 A085748 A252354

Adjacent sequences:  A005905 A005906 A005907 * A005909 A005910 A005911

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 21 22:56 EST 2018. Contains 299427 sequences. (Running on oeis4.)