A005829 a(n) = floor(tau*a(n-1)) + a(n-2) with a(0)=0 and a(1)=2.

0, 2, 3, 6, 12, 25, 52, 109, 228, 477, 999, 2093, 4385, 9188, 19251, 40336, 84516, 177085, 371045, 777448, 1628982, 3413196, 7151649, 14984807, 31397576, 65787152, 137843423, 288822495, 605168036

Offset

0,2

Links

Table of n, a(n) for n=0..28.

Mathematica

nxt[{a_, b_}]:={b, Floor[b*GoldenRatio]+a}; NestList[nxt, {0, 2}, 30][[All, 1]] (* Harvey P. Dale, Apr 11 2018 *)

Crossrefs

Sequence in context: A038086 A032305 A032218 * A038087 A116379 A116380

Adjacent sequences: A005826 A005827 A005828 * A005830 A005831 A005832

Keyword

nonn

Author

N. J. A. Sloane

Status

approved