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

1,1

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.

Sequence in context: A069645 A294307 A017534 * A038596 A250988 A289338

Adjacent sequences: A120901 A120902 A120903 * A120905 A120906 A120907

Keyword

nonn

Author

Franklin T. Adams-Watters, Jul 14 2006

Extensions

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

Status

approved