%I #6 Apr 05 2020 20:07:49
%S 0,0,0,0,0,0,0,5,1,0,0,23,53,10,0,1,124,486,498,60,0,3,518,4091,8108,
%T 4013,304,0,10,2103,32070,125848,126903,31689,1420,0,24,8304,246852,
%U 1900201,3786544,1955375,246743,6312,0,60,32561,1897509,28709764
%N T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.
%C Table starts
%C .0.....0........0..........0.............0................1..................3
%C .0.....0........5.........23...........124..............518...............2103
%C .0.....1.......53........486..........4091............32070.............246852
%C .0....10......498.......8108........125848..........1900201...........28709764
%C .0....60.....4013.....126903.......3786544........112687158.........3370860734
%C .0...304....31689....1955375.....114271723.......6736259130.......400400301913
%C .0..1420...246743...30064393....3464680837.....405651046593.....48001754870966
%C .0..6312..1915490..462569756..105517939849...24578475941654...5797084510052322
%C .0.27167.14853287.7127871677.3226317873349.1496865603233666.704256987414278983
%H R. H. Hardin, <a href="/A293087/b293087.txt">Table of n, a(n) for n = 1..198</a>
%e Some solutions for n=4, k=4
%e ..0..0..1..0. .0..0..0..0. .0..0..0..0. .0..0..1..1. .1..1..0..0
%e ..0..0..0..0. .1..0..0..0. .0..0..0..0. .0..1..1..1. .1..1..0..0
%e ..1..1..0..1. .1..0..0..1. .1..1..0..1. .0..0..0..0. .0..0..0..1
%e ..0..0..1..1. .0..0..0..0. .0..0..1..0. .0..1..0..0. .0..0..1..0
%Y Row 1 is A286209.
%K nonn,tabl
%O 1,8
%A _R. H. Hardin_, Sep 30 2017
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