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

0,3

Links

Table of n, a(n) for n=0..68.

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.

Formula

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

Mathematica

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

Crossrefs

Cf. A057843, A082389.

Sequence in context: A276210 A186223 A047446 * A218773 A285967 A295581

Adjacent sequences: A058062 A058063 A058064 * A058066 A058067 A058068

Keyword

nonn,easy

Author

N. J. A. Sloane, Nov 24 2000

Status

approved