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A286870 Array read by antidiagonals: T(m,n) = number of irredundant sets in the m X n king graph.

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%I A286870 #17 Feb 16 2025 08:33:45
%S A286870 2,3,3,5,5,5,9,11,11,9,15,25,43,25,15,26,51,133,133,51,26,44,113,463,
%T A286870 647,463,113,44,76,235,1493,2945,2945,1493,235,76,130,521,5011,14217,
%U A286870 22049,14217,5011,521,130,223,1107,16659,65627,147672,147672,65627,16659,1107,223
%N A286870 Array read by antidiagonals: T(m,n) = number of irredundant sets in the m X n king graph.
%H A286870 Andrew Howroyd, <a href="/A286870/b286870.txt">Table of n, a(n) for n = 1..153</a>
%H A286870 Matthew D. Kearse and Peter B. Gibbons, <a href="http://hdl.handle.net/2292/3642">Computational Methods and New Results for Chessboard Problems</a>, CDMTCS Research Reports CDMTCS-133 (2000).
%H A286870 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/KingGraph.html">King Graph</a>
%H A286870 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/IrredundantSet.html">Irredundant Set</a>
%e A286870 Array begins:
%e A286870 ====================================================================
%e A286870 m\n|  1   2     3      4       5         6          7           8
%e A286870 ---|----------------------------------------------------------------
%e A286870 1  |  2   3     5      9      15        26         44          76...
%e A286870 2  |  3   5    11     25      51       113        235         521...
%e A286870 3  |  5  11    43    133     463      1493       5011       16659...
%e A286870 4  |  9  25   133    647    2945     14217      65627      322163...
%e A286870 5  | 15  51   463   2945   22049    147672    1043127     7365740...
%e A286870 6  | 26 113  1493  14217  147672   1455385   14656628   151865727...
%e A286870 7  | 44 235  5011  65627 1043127  14656628  218691097  3287831848...
%e A286870 8  | 76 521 16659 322163 7365740 151865727 3287831848 72877697369...
%e A286870 ...
%Y A286870 Row 1 is A286887.
%Y A286870 Main diagonal is A286871.
%Y A286870 Cf. A218663 (dominating sets), A286849 (minimal dominating sets).
%Y A286870 Cf. A286868 (grid graph).
%K A286870 nonn,tabl
%O A286870 1,1
%A A286870 _Andrew Howroyd_, Aug 02 2017