A005913 a(n) = floor(tau*a(n-1)) + floor(tau*a(n-2)) with a(0)=1 and a(1)=3.

1, 3, 5, 12, 27, 62, 143, 331, 766, 1774, 4109, 9518, 22048, 51074, 118313, 274073, 634893, 1470737, 3406980, 7892311, 18282636, 42351953, 98108825, 227270312, 526474502, 1219584727, 2825183178, 6544571946, 15160582256, 35119677229, 81355168809, 188460259723

Offset

0,2

Links

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

Mathematica

nxt[{a_, b_}]:={b, Floor[b*GoldenRatio]+Floor[a*GoldenRatio]}; NestList[nxt, {1, 3}, 30][[All, 1]] (* Harvey P. Dale, Jul 03 2019 *)

Crossrefs

Sequence in context: A161762 A245649 A291035 * A056690 A317580 A066951

Adjacent sequences: A005910 A005911 A005912 * A005914 A005915 A005916

Keyword

nonn

Author

N. J. A. Sloane

Status

approved