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A375603
Array read by antidiagonals: T(m,n) = domination number of the stacked prism graph C_m X P_n.
3
1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 3, 4, 4, 4, 4, 4, 3, 3, 4, 5, 5, 6, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 4, 3, 4, 5, 7, 7, 8, 8, 7, 6, 5, 4, 4, 6, 7, 8, 9, 9, 9, 8, 7, 6, 4, 4, 6, 8, 9, 10, 10, 11, 10, 10, 8, 6, 4, 5, 7, 9, 10, 11, 12, 12, 12, 12, 10, 9, 6, 5
OFFSET
1,5
LINKS
Stephan Mertens, Domination Polynomials of the Grid, the Cylinder, the Torus, and the King Graph, arXiv:2408.08053 [math.CO], Aug 2024.
Eric Weisstein's World of Mathematics, Domination Number.
Eric Weisstein's World of Mathematics, Stacked Prism Graph.
EXAMPLE
Table starts:
====================================
m\n | 1 2 3 4 5 6 ...
----|-------------------------------
1 | 1 1 1 2 2 2 ...
2 | 1 2 2 3 3 4 ...
3 | 1 2 3 4 4 5 ...
4 | 2 2 3 4 5 6 ...
5 | 2 3 4 6 7 8 ...
6 | 2 4 5 6 8 9 ...
...
CROSSREFS
Main diagonal is A375601.
Sequence in context: A025819 A243866 A110102 * A255472 A230198 A024939
KEYWORD
nonn,tabl
AUTHOR
Stephan Mertens, Aug 20 2024
STATUS
approved