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

0,2

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

Maple

Larsson and Wastlund give Maple code.

Prog

(C) See Links section.

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.

Sequence in context: A338460 A175032 A078768 * A089078 A388493 A355072

Adjacent sequences: A307278 A307279 A307280 * A307282 A307283 A307284

Keyword

nonn

Author

N. J. A. Sloane, Apr 05 2019

Extensions

Data corrected by Rémy Sigrist, Apr 18 2019

Status

approved