A307281 a(n) = second coordinate m of P-position (n,m) in Maharaja Nim.

0, 3, 6, 1, 5, 4, 2, 10, 13, 16, 7, 19, 18, 8, 23, 26, 9, 29, 12, 11, 30, 34, 37, 14, 40, 39, 15, 44, 47, 17, 20, 49, 52, 55, 21, 58, 57, 22, 62, 25, 24, 66, 69, 72, 27, 71, 74, 28, 78, 31, 81, 84, 32, 87, 86, 33, 91, 36, 35, 95, 98, 101, 38, 100, 103, 106, 41

Offset: 0

Author

N. J. A. Sloane, Apr 05 2019

Keywords

• nonn

Comments

This is a self-inverse permutation of the nonnegative numbers.

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..10000
• Urban Larsson and Johan Wastlund, Maharaja Nim: Wythoff’s Queen meets the Knight, arXiv 1207.0765 [math.CO], 2012. [See Fig. 2 (right).]
• Urban Larsson and Johan Wästlund, Maharaja Nim: Wythoff’s Queen meets the Knight, Integers: Electronic Journal of Combinatorial Number Theory 14 (2014), #G05. [See Fig. 2 (right).]
• Rémy Sigrist, C program for A307281
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

See A308201 for Sprague-Grundy values (the present sequence focuses on the 0 values in that table).

See A000201 and A001950 for Wythoff's Nim.

Programs

C

See Links section.

Maple

Larsson and Wastlund give Maple code.

Extensions

Data corrected by Rémy Sigrist, Apr 18 2019