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A332390
Array read by antidiagonals: T(m,n) is the number of minimal total dominating sets in the m X n king graph.
6
0, 1, 1, 2, 6, 2, 1, 10, 10, 1, 2, 15, 20, 15, 2, 4, 52, 52, 52, 52, 4, 3, 105, 179, 141, 179, 105, 3, 4, 175, 418, 801, 801, 418, 175, 4, 8, 481, 1167, 2950, 7770, 2950, 1167, 481, 8, 9, 1028, 3498, 9792, 34790, 34790, 9792, 3498, 1028, 9, 10, 2000, 9074, 47527, 184318, 204372, 184318, 47527, 9074, 2000, 10
OFFSET
1,4
LINKS
Eric Weisstein's World of Mathematics, King Graph
Eric Weisstein's World of Mathematics, Total Dominating Set
FORMULA
T(n,m) = T(m,n).
EXAMPLE
Array begins:
================================================================
m\n | 1 2 3 4 5 6 7 8
----+-----------------------------------------------------------
1 | 0 1 2 1 2 4 3 4 ...
2 | 1 6 10 15 52 105 175 481 ...
3 | 2 10 20 52 179 418 1167 3498 ...
4 | 1 15 52 141 801 2950 9792 47527 ...
5 | 2 52 179 801 7770 34790 184318 1305358 ...
6 | 4 105 418 2950 34790 204372 1593094 14720683 ...
7 | 3 175 1167 9792 184318 1593094 16260853 231301551 ...
8 | 4 481 3498 47527 1305358 14720683 231301551 4570906041 ...
...
CROSSREFS
Rows 1..4 are A302655, A332392, A332393, A332394.
Main diagonal is A332391.
Sequence in context: A008905 A136760 A303335 * A289382 A062539 A064136
KEYWORD
nonn,tabl
AUTHOR
Andrew Howroyd, Feb 10 2020
STATUS
approved