%I
%S 1,1,1,1,1,1,4,3,3,4,5,10,5,10,5,10,22,34,34,22,10,12,49,67,161,67,49,
%T 12,34,121,388,707,707,388,121,34,43,316,915,3309,3200,3309,915,316,
%U 43,101,779,4850,16892,31574,31574,16892,4850,779,101,127,1921,12037,89384
%N T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order
%C Table starts
%C ...1....1.....1.......4........5.........10...........12............34
%C ...1....1.....3......10.......22.........49..........121...........316
%C ...1....3.....5......34.......67........388..........915..........4850
%C ...4...10....34.....161......707.......3309........16892.........89384
%C ...5...22....67.....707.....3200......31574.......160614.......1732653
%C ..10...49...388....3309....31574.....314146......3329090......35575297
%C ..12..121...915...16892...160614....3329090.....34323408.....762299807
%C ..34..316..4850...89384..1732653...35575297....762299807...16813884210
%C ..43..779.12037..465258..9034170..385850578...8239136941..378401275324
%C .101.1921.63153.2414240.98521493.4227440605.188448398522.8639354062078
%H R. H. Hardin, <a href="/A222635/b222635.txt">Table of n, a(n) for n = 1..199</a>
%e Some solutions for n=3 k=4
%e ..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..1
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1....1..1..1..1
%e ..0..0..0..0....1..0..0..0....1..1..0..0....0..0..0..1....1..1..1..1
%Y Column 1 is A222353
%K nonn,tabl
%O 1,7
%A _R. H. Hardin_ Feb 26 2013
