A354586 Table of Sprague-Grundy values for n X m 2D Toppling Dominoes L's read by antidiagonals.

1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 1, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 5, 9, 1, 9, 5, 9, 9, 10, 10, 10, 10, 2, 2, 10, 10, 10, 10, 11, 11, 11, 11, 3, 3, 3, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12

Offset: 1

Author

Ian C Haile, Aug 18 2022

Keywords

• easy
• nonn
• tabl

Comments

2D Toppling Dominoes is played in the same manner as conventional Toppling Dominoes, with the addition of toppling in the north and south directions. An n X m L is defined to be a column of n dominoes and a row of m dominoes intersecting at an endpoint for both row and column. An n X m L comprises n+m-1 dominoes.

T(a,b) = T(b,a).

It is known that alternating terms on the main diagonal are 1.

This table appears to approximate a fractal.

Links

• Ian C Haile, Python program