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A202889 T(n,k)=Number of nXk 0..2 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.

%I A202889 #8 Jul 19 2023 09:40:20
%S A202889 1,3,3,9,35,9,22,265,265,22,51,1849,5493,1849,51,121,13345,109119,
%T A202889 109119,13345,121,292,96941,2223723,6092872,2223723,96941,292,704,
%U A202889 701275,45332961,348151747,348151747,45332961,701275,704,1691,5071167,922352267
%N A202889 T(n,k)=Number of nXk 0..2 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.
%H A202889 R. H. Hardin, <a href="/A202889/b202889.txt">Table of n, a(n) for n = 1..199</a>
%e A202889 Table starts
%e A202889 ...1.......3...........9.............22.................51
%e A202889 ...3......35.........265...........1849..............13345
%e A202889 ...9.....265........5493.........109119............2223723
%e A202889 ..22....1849......109119........6092872..........348151747
%e A202889 ..51...13345.....2223723......348151747........56006562037
%e A202889 .121...96941....45332961....19914296913......9024909392725
%e A202889 .292..701275...922352267..1137589582096...1452080571954205
%e A202889 .704.5071167.18770352883.64992189188797.233641209300452607
%e A202889 Some solutions for n=3 k=3
%e A202889 ..1..2..2....1..1..2....2..1..1....2..2..1....2..2..0....1..2..2....2..1..0
%e A202889 ..0..0..2....2..2..2....2..0..1....1..2..1....0..0..0....2..2..0....2..1..1
%e A202889 ..0..1..2....2..0..0....1..0..1....0..1..1....2..2..1....0..1..1....0..2..2
%K A202889 nonn,tabl
%O A202889 1,2
%A A202889 _R. H. Hardin_, Dec 25 2011