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Diagonal of Sprague-Grundy values for n X m 2D Toppling Dominoes L's.
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%I #20 Oct 01 2022 19:41:03

%S 1,3,1,7,1,3,1,15,1,3,1,7,1,3,1,31,1,3,1,7,1,3,1,15,1,3,1,49,1,3,1,63,

%T 1,3,1,7,1,3,1,15,1,3,1,7,1,3,1,31,1,3,1,8,1,9,1,11,1,5,1,5,1,111,1,

%U 127,1,3,1,7,1,3,1,15,1,3,1,21,1,3,1,31,1,3

%N Diagonal of Sprague-Grundy values for n X m 2D Toppling Dominoes L's.

%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 as 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 It is known that alternate terms are 1.

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

%Y Main diagonal of A354586 viewed as square array.

%K easy,nonn

%O 1,2

%A _Ian C Haile_, Aug 18 2022