A005907 - OEIS

A005907

a(n) = floor(tau*a(n-2)) + a(n-1) with a(0)=1 and a(1)=3.

1, 3, 4, 8, 14, 26, 48, 90, 167, 312, 582, 1086, 2027, 3784, 7063, 13185, 24613, 45946, 85770, 160112, 298890, 557956, 1041570, 1944361, 3629656, 6775698, 12648604, 23611913, 44077784, 82282661, 153602013

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..30.

MATHEMATICA

nxt[{a_, b_}]:={b, Floor[GoldenRatio*a+b]}; NestList[nxt, {1, 3}, 30][[;; , 1]] (* Harvey P. Dale, Sep 15 2023 *)

CROSSREFS

Sequence in context: A000205 A136425 A331330 * A049866 A118355 A026632

Adjacent sequences: A005904 A005905 A005906 * A005908 A005909 A005910

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved