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Table of Sprague-Grundy values for n X m 2D Toppling Dominoes L's read by antidiagonals.
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%I #22 Oct 01 2022 19:39:52

%S 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,

%T 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,

%U 11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12

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

%C 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.

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

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

%C This table appears to approximate a fractal.

%H Ian C Haile, <a href="https://github.com/IanHaile/2D_Toppling_Dominoes">Python program</a>

%K easy,nonn,tabl

%O 1,2

%A _Ian C Haile_, Aug 18 2022