A120904 Odd winning positions in Fibonacci nim.

169, 635, 723, 791, 2697, 3057, 3067, 3073, 3079, 3089, 3099, 3167, 3183, 3193, 3303, 3371, 3427, 11419, 11435, 11451, 11461, 11529, 11555, 12973, 12989, 13051, 13057, 13067, 13109, 13135, 13155, 13161, 13171, 13187, 13863, 14077, 14329, 14355, 14617, 14643

Offset: 1

Author

Franklin T. Adams-Watters, Jul 14 2006

Keywords

• nonn

Comments

The values appear to cluster; see the plot below. This sequence is also the sequence of odd terms that appear in the lexicographically least subset of the positive integers that does not contain two terms with difference equal to a Fibonacci number; see the comments in A001581. - Boon Suan Ho, Oct 05 2023

Links

• Boon Suan Ho, Table of n, a(n) for n = 1..1184 (first 101 terms from Charlie Neder)
• Boon Suan Ho, Plot of a(n) for n = 1..1184.

Crossrefs

Cf. A001581.

Extensions

a(39)-a(40) from Charlie Neder, Feb 23 2019