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%I #6 Apr 05 2020 20:15:57
%S 1,2,2,3,4,3,6,13,13,6,10,40,43,40,10,19,131,412,412,131,19,33,455,
%T 1919,5268,1919,455,33,62,1611,18842,71181,71181,18842,1611,62,112,
%U 5818,105367,1001047,1488503,1001047,105367,5818,112,212,21328,983238
%N 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 equal to the number of 0's adjacent to some 1, with top left element zero.
%C Table starts
%C ...1.....2.......3..........6............10..............19.................33
%C ...2.....4......13.........40...........131.............455...............1611
%C ...3....13......43........412..........1919...........18842.............105367
%C ...6....40.....412.......5268.........71181.........1001047...........14392557
%C ..10...131....1919......71181.......1488503........54333131.........1321614728
%C ..19...455...18842....1001047......54333131......3083244672.......178138187113
%C ..33..1611..105367...14392557....1321614728....178138187113.....18564422929880
%C ..62..5818..983238..210449237...45952259333..10468760423253...2429325477564655
%C .112.21328.6123441.3113715736.1219757876905.622301968698475.271315506003954612
%H R. H. Hardin, <a href="/A284199/b284199.txt">Table of n, a(n) for n = 1..180</a>
%e Some solutions for n=4, k=4
%e ..0..1..1..0. .0..1..0..0. .0..1..1..0. .0..1..1..0. .0..0..0..0
%e ..1..0..1..0. .1..0..0..1. .1..0..1..1. .1..0..0..1. .0..0..0..0
%e ..1..0..0..1. .1..0..0..1. .0..1..1..0. .1..0..0..0. .0..0..1..1
%e ..1..0..0..1. .1..1..1..0. .0..0..1..0. .1..1..0..1. .1..1..1..0
%Y Column 1 is A274160(n+1).
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Mar 22 2017
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