%I #9 Sep 10 2024 12:38:01
%S 6,26,12,98,82,36,378,514,676,96,1512,3358,9604,4338,264,6018,22396,
%T 142884,130890,29380,720,23890,148820,2286144,4140964,1876940,196698,
%U 1968,94846,990458,36216324,141857204,127574544,26726740,1321986,5376
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors
%H R. H. Hardin, <a href="/A239178/b239178.txt">Table of n, a(n) for n = 1..112</a>
%H N. H. Bong, C. Dalfó, and M. À. Fiol, and D. Závacká, <a href="https://arxiv.org/abs/2409.02125">Some inner metric parameters of a digraph: Iterated line digraphs and integer sequences</a>, arXiv:2409.02125 [math.CO], 2024. See p. 19.
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1) +2*a(n-2)
%F k=2: [order 19]
%F k=3: [order 67]
%F Empirical for row n:
%F n=1: a(n) = 4*a(n-1) -a(n-2) +3*a(n-3) +3*a(n-4) -4*a(n-5) +a(n-6)
%F n=2: [order 31]
%F n=3: [order 21]
%e Some solutions for n=3 k=4
%e ..0..0..0..2..2....0..1..2..2..2....2..2..1..1..0....1..1..0..1..1
%e ..2..2..2..1..1....2..2..1..1..1....0..0..0..2..2....0..2..2..2..0
%e ..2..2..2..0..0....2..2..2..2..2....0..0..1..2..2....0..0..0..0..0
%e ..0..0..0..1..1....1..1..0..0..0....2..2..2..0..0....2..2..2..1..1
%e Table starts
%e ....6......26.........98...........378.............1512................6018
%e ...12......82........514..........3358............22396..............148820
%e ...36.....676.......9604........142884..........2286144............36216324
%e ...96....4338.....130890.......4140964........141857204..........4845741276
%e ..264...29380....1876940.....127574544.......9704723126........733415243746
%e ..720..196698...26726740....3901908720.....652274371446.....108383467365104
%e .1968.1321986..381984614..119751372066...44086966064930...16126266923705212
%e .5376.8867938.5442841504.3664449484670.2970697967221324.2391741572658733884
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Mar 11 2014