%I #6 Apr 05 2020 20:09:09
%S 1,2,2,3,4,4,6,13,13,8,10,34,49,42,16,19,118,373,415,134,32,33,419,
%T 2259,5130,2243,467,64,62,1481,18114,68458,70039,19385,1689,128,112,
%U 5394,120058,966889,1792007,1000935,122495,6210,256,212,19848,959041,13941789
%N T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally 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.........34...........118.............419...............1481
%C ...4....13......49........373..........2259...........18114.............120058
%C ...8....42.....415.......5130.........68458..........966889...........13941789
%C ..16...134....2243......70039.......1792007........53435287.........1495300322
%C ..32...467...19385....1000935......53977741......3063494246.......177476886878
%C ..64..1689..122495...14581112....1544903012....179138039472.....20513380740103
%C .128..6210.1021999..215806808...46769835006..10629901713799...2467754689139967
%C .256.23178.7013557.3229703988.1390664014686.637390912071364.294625135884008616
%H R. H. Hardin, <a href="/A284334/b284334.txt">Table of n, a(n) for n = 1..143</a>
%e Some solutions for n=4, k=4
%e ..0..0..0..0. .0..1..0..1. .0..0..1..1. .0..1..1..0. .0..0..1..0
%e ..1..0..1..0. .1..0..1..1. .0..1..1..0. .1..0..0..1. .0..1..0..1
%e ..1..0..0..0. .0..1..0..1. .1..1..1..0. .1..1..0..0. .1..0..1..1
%e ..1..1..1..1. .0..0..1..0. .0..0..1..1. .0..1..1..0. .0..0..1..1
%Y Column 1 is A000079(n-1).
%Y Column 2 is A284159.
%Y Row 1 is A274160(n+1).
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Mar 25 2017