A058065 Complement of A057843.

0, 1, 3, 5, 6, 8, 9, 11, 13, 14, 16, 18, 19, 21, 22, 24, 26, 27, 29, 30, 32, 34, 35, 37, 39, 40, 42, 43, 45, 47, 48, 50, 52, 53, 55, 56, 58, 60, 61, 63, 64, 66, 68, 69, 71, 73, 74, 76, 77, 79, 81, 82, 84, 85, 87, 89, 90, 92, 94, 95, 97, 98, 100, 102, 103, 105, 107, 108, 110

Offset: 0

Author

N. J. A. Sloane, Nov 24 2000

Keywords

• nonn
• easy

Links

• Jon Asier Bárcena-Petisco, Luis Martínez, María Merino, Juan Manuel Montoya, and Antonio Vera-López, Fibonacci-like partitions and their associated piecewise-defined permutations, arXiv:2503.19696 [math.CO], 2025. See p. 3.

Crossrefs

Cf. A057843, A082389.

Programs

Mathematica

Table[Floor[n*GoldenRatio+Sqrt[5]],{n,0,100}]-2 (* Harvey P. Dale, Mar 01 2019 *)

Formula

a(n) = floor(tau*n+sqrt(5))-2 where tau is the Golden ratio = (1+sqrt(5))/2. - Benoit Cloitre, Apr 14 2003