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A289651 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.

%I A289651 #6 Apr 05 2020 20:22:51
%S A289651 0,0,0,0,2,0,0,11,11,0,0,44,61,44,0,1,170,607,607,170,1,3,642,3160,
%T A289651 8554,3160,642,3,10,2421,31271,121162,121162,31271,2421,10,24,9142,
%U A289651 183390,1756800,2662095,1756800,183390,9142,24,60,34572,1714758,25760875
%N A289651 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
%C A289651 Table starts
%C A289651 ..0.....0........0..........0.............0................1..................3
%C A289651 ..0.....2.......11.........44...........170..............642...............2421
%C A289651 ..0....11.......61........607..........3160............31271.............183390
%C A289651 ..0....44......607.......8554........121162..........1756800...........25760875
%C A289651 ..0...170.....3160.....121162.......2662095.........98170524.........2439241607
%C A289651 ..1...642....31271....1756800......98170524.......5675111511.......332113863074
%C A289651 ..3..2421...183390...25760875....2439241607.....332113863074.....35072966294346
%C A289651 .10..9142..1714758..382162921...85298181531...19700973655406...4615203834449304
%C A289651 .24.34572.10957160.5717697619.2290353406298.1179502836506537.519140871714574338
%H A289651 R. H. Hardin, <a href="/A289651/b289651.txt">Table of n, a(n) for n = 1..180</a>
%e A289651 Some solutions for n=4, k=4
%e A289651 ..1..0..0..0. .1..0..0..0. .0..1..1..0. .0..1..0..0. .1..0..0..1
%e A289651 ..1..1..1..0. .0..1..0..1. .0..0..1..0. .1..1..0..1. .0..1..0..1
%e A289651 ..1..0..1..0. .0..1..1..0. .0..1..1..1. .0..1..0..1. .0..1..1..0
%e A289651 ..0..0..1..0. .0..1..0..1. .0..1..0..0. .0..1..0..0. .0..0..1..0
%Y A289651 Column 1 is A286209.
%K A289651 nonn,tabl
%O A289651 1,5
%A A289651 _R. H. Hardin_, Jul 09 2017