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A286847 Array read by antidiagonals: T(m,n) = number of minimal dominating sets in the grid graph P_m X P_n.

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%I A286847 #17 Feb 16 2025 08:33:45
%S A286847 1,2,2,2,6,2,4,7,7,4,4,18,16,18,4,7,39,53,53,39,7,9,75,154,306,154,75,
%T A286847 9,13,155,436,1167,1167,436,155,13,18,310,1268,4939,6958,4939,1268,
%U A286847 310,18,25,638,3660,21313,40931,40931,21313,3660,638,25
%N A286847 Array read by antidiagonals: T(m,n) = number of minimal dominating sets in the grid graph P_m X P_n.
%H A286847 Andrew Howroyd, <a href="/A286847/b286847.txt">Table of n, a(n) for n = 1..153</a>
%H A286847 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GridGraph.html">Grid Graph</a>
%H A286847 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MinimalDominatingSet.html">Minimal Dominating Set</a>
%e A286847 Table begins:
%e A286847 ===============================================================
%e A286847 m\n|  1   2    3     4       5        6         7          8
%e A286847 ---|-----------------------------------------------------------
%e A286847 1  |  1   2    2     4       4        7         9         13...
%e A286847 2  |  2   6    7    18      39       75       155        310...
%e A286847 3  |  2   7   16    53     154      436      1268       3660...
%e A286847 4  |  4  18   53   306    1167     4939     21313      88161...
%e A286847 5  |  4  39  154  1167    6958    40931    254754    1519544...
%e A286847 6  |  7  75  436  4939   40931   349178   3118754   26797630...
%e A286847 7  |  9 155 1268 21313  254754  3118754  40307167  497709474...
%e A286847 8  | 13 310 3660 88161 1519544 26797630 497709474 8863408138...
%e A286847 ...
%Y A286847 Rows 1-3 are A253412, A290379, A286848.
%Y A286847 Main diagonal is A290382.
%Y A286847 Cf. A218354 (dominating sets), A089934 (independent), A286868 (irredundant).
%Y A286847 Cf. A286849 (king graph).
%K A286847 nonn,tabl
%O A286847 1,2
%A A286847 _Andrew Howroyd_, Aug 01 2017