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A286868 Array read by antidiagonals: T(m,n) = number of irredundant sets in the grid graph P_m X P_n.

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%I A286868 #14 Feb 16 2025 08:33:45
%S A286868 2,3,3,5,11,5,9,26,26,9,15,79,113,79,15,26,224,548,548,224,26,44,640,
%T A286868 2513,4481,2513,640,44,76,1828,11826,34049,34049,11826,1828,76,130,
%U A286868 5225,55136,265227,425926,265227,55136,5225,130
%N A286868 Array read by antidiagonals: T(m,n) = number of irredundant sets in the grid graph P_m X P_n.
%H A286868 Andrew Howroyd, <a href="/A286868/b286868.txt">Table of n, a(n) for n = 1..153</a>
%H A286868 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GridGraph.html">Grid Graph</a>
%H A286868 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/IrredundantSet.html">Irredundant Set</a>
%e A286868 Array begins:
%e A286868 =============================================================
%e A286868 m\n|  1    2     3       4        5          6           7
%e A286868 ---|---------------------------------------------------------
%e A286868 1  |  2    3     5       9       15         26          44...
%e A286868 2  |  3   11    26      79      224        640        1828...
%e A286868 3  |  5   26   113     548     2513      11826       55136...
%e A286868 4  |  9   79   548    4481    34049     265227     2052725...
%e A286868 5  | 15  224  2513   34049   425926    5467052    69724154...
%e A286868 6  | 26  640 11826  265227  5467052  116003176  2441933224...
%e A286868 7  | 44 1828 55136 2052725 69724154 2441933224 84850904785...
%e A286868 ...
%Y A286868 Row 1 is A286887.
%Y A286868 Main diagonal is A286869.
%Y A286868 Cf. A286847 (minimal dominating sets).
%Y A286868 Cf. A286870 (king graph).
%K A286868 nonn,tabl
%O A286868 1,1
%A A286868 _Andrew Howroyd_, Aug 02 2017