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A375566 Array read by antidiagonals: T(m,n) = number of minimum dominating sets in the stacked prism graph C_m X P_n.

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%I A375566 #34 Aug 20 2024 13:19:25
%S A375566 1,2,2,1,6,3,4,3,9,6,3,12,34,4,5,1,2,123,4,10,3,8,17,3,16,5,51,14,4,2,
%T A375566 18,28,290,18,14,8,1,20,93,76,320,6,63,4,3,13,2,438,164,265,171,14,4,
%U A375566 18,25,5,24,3,396,255,36,91,24,9,120,11,1,2,27,904,250,6,1526,60,2052,25,22,3
%N A375566 Array read by antidiagonals: T(m,n) = number of minimum dominating sets in the stacked prism graph C_m X P_n.
%H A375566 Stephan Mertens, <a href="https://arxiv.org/abs/2408.08053">Domination Polynomials of the Grid, the Cylinder, the Torus, and the King Graph</a>, arXiv:2408.08053 [math.CO], Aug 2024.
%H A375566 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MinimumDominatingSet.html">Minimum Dominating Set</a>.
%H A375566 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/StackedPrismGraph.html">Stacked Prism Graph</a>.
%e A375566 Table starts:
%e A375566 ====================================
%e A375566 m\n |   1   2   3    4    5    6 ...
%e A375566 ----+-------------------------------
%e A375566   1 |   1   2   1    4    3    1 ...
%e A375566   2 |   2   6   3   12    2   17 ...
%e A375566   3 |   3   9  34  123    3   18 ...
%e A375566   4 |   6   4   4   16   28   76 ...
%e A375566   5 |   5  10   5  290  320  265 ...
%e A375566  ...
%Y A375566 Main diagonal is A375569.
%Y A375566 Rows 1..2 are A347633, A347558.
%Y A375566 Column 1 is A347538, column 2 is essentially A347634.
%Y A375566 Cf. A286514, A350820, A375603.
%K A375566 nonn,tabl,hard
%O A375566 1,2
%A A375566 _Stephan Mertens_, Aug 19 2024