A360847 Number of dominating induced trees in the n X n grid graph.

1, 8, 65, 1280, 78981, 14605388, 7904828158, 12456744197696, 57118103869618858, 760896261783236975004, 29416443122724544970455433, 3297715940113139272931793598648, 1071333966021766251746119497973623975, 1008129126269380724757869194465038817386728

Offset

1,2

Comments

A dominating induced tree in a graph is an acyclic connected induced subgraph whose vertices are a dominating set.

Links

Table of n, a(n) for n=1..14.

Eric Weisstein's World of Mathematics, Grid Graph.

Crossrefs

Main diagonal of A360846.

Cf. A287690 (connected dominating sets), A360203 (induced trees).

Sequence in context: A024105 A302316 A041114 * A320990 A015496 A226126

Adjacent sequences: A360844 A360845 A360846 * A360848 A360849 A360850

Keyword

nonn

Author

Andrew Howroyd, Feb 23 2023

Status

approved