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%I #10 Feb 27 2023 11:15:33
%S 1,4,10,32,22,4120,488,65864,166,1296,872,37652512,678412,1858036816,
%T 337856
%N Number of maximum induced trees in the n X n grid graph.
%C A maximum induced tree is an induced tree of greatest size.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GridGraph.html">Grid Graph</a>.
%e The a(3) = 10 maximum induced trees are the following subgraphs and their rotations and reflections.
%e O O O O O O O O O
%e O O O O
%e O O O O O O O O
%e .
%e The a(4) = 32 maximum induced trees are the following subgraphs and their rotations and reflections.
%e O O O O O O O O O O O O O O
%e O O O O O O O O O O
%e O O O O O O O O O O O O
%e O O O O O O O O O O O O
%Y Main diagonal of A360918.
%Y Cf. A360203 (induced trees), A360921 (maximum sizes).
%K nonn,more
%O 1,2
%A _Andrew Howroyd_, Feb 26 2023
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