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%I #7 Apr 11 2022 18:26:56
%S 1,8,8,64,680,64,372,31984,31984,372,1856,1194376,9509536,1194376,
%T 1856,9052,44344428,2397172032,2397172032,44344428,9052,45648,
%U 1707628408,622483753816,4062408076312,622483753816,1707628408,45648,235538
%N T(n,k) = Number of n X k 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.
%C Table starts
%C ......1.............8...................64........................372
%C ......8...........680................31984....................1194376
%C .....64.........31984..............9509536.................2397172032
%C ....372.......1194376...........2397172032..............4062408076312
%C ...1856......44344428.........622483753816...........7102116597811456
%C ...9052....1707628408......165216756703876.......12637286590945269232
%C ..45648...66085464308....43681585962838352....22397115742156661223732
%C .235538.2542636404496.11516921180669227688.39623544474309263600520384
%H R. H. Hardin, <a href="/A202916/b202916.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for n=4, k=3
%e ..4..7..7....0..7..2....7..1..1....0..2..1....0..7..6....7..1..6....5..3..2
%e ..4..4..7....2..7..7....7..7..2....2..2..2....2..7..4....7..5..6....5..0..6
%e ..7..3..2....6..2..3....3..4..1....3..5..3....1..0..5....2..4..7....6..1..6
%e ..7..0..1....6..6..0....5..5..1....3..5..3....0..4..5....3..3..7....6..5..1
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Dec 26 2011
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