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A360919
Number of maximum induced trees in the n X n grid graph.
2
1, 4, 10, 32, 22, 4120, 488, 65864, 166, 1296, 872, 37652512, 678412, 1858036816, 337856
OFFSET
1,2
COMMENTS
A maximum induced tree is an induced tree of greatest size.
LINKS
Eric Weisstein's World of Mathematics, Grid Graph.
EXAMPLE
The a(3) = 10 maximum induced trees are the following subgraphs and their rotations and reflections.
O O O O O O O O O
O O O O
O O O O O O O O
.
The a(4) = 32 maximum induced trees are the following subgraphs and their rotations and reflections.
O O O O O O O O O O O O O O
O O O O O O O O O O
O O O O O O O O O O O O
O O O O O O O O O O O O
CROSSREFS
Main diagonal of A360918.
Cf. A360203 (induced trees), A360921 (maximum sizes).
Sequence in context: A289447 A135831 A213106 * A015796 A318562 A034717
KEYWORD
nonn,more
AUTHOR
Andrew Howroyd, Feb 26 2023
STATUS
approved