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%I #4 Mar 09 2013 07:55:48
%S 1,1,2,1,4,5,4,7,14,15,5,25,45,75,51,14,92,373,767,411,187,17,403,
%T 1202,7794,4909,2522,715,75,1710,18981,101398,180203,119393,15919,
%U 2795,95,8021,82020,1346067,2117424,4320431,759891,103627,11051,411,36160
%N T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order
%C Table starts
%C ......1.........1............1................4.................5
%C ......2.........4............7...............25................92
%C ......5........14...........45..............373..............1202
%C .....15........75..........767.............7794............101398
%C .....51.......411.........4909...........180203...........2117424
%C ....187......2522.......119393..........4320431.........213112150
%C ....715.....15919.......759891........105327353........4854855483
%C ...2795....103627.....20299463.......2592612272......488736554328
%C ..11051....683480....130579169......64243363904....11422629770589
%C ..43947...4554799...3588643955....1600125512239..1152667562787040
%C .175275..30542304..23230932391...40022606753953.27237086853444410
%C .700075.205785953.647426033879.1004596097977296
%H R. H. Hardin, <a href="/A222906/b222906.txt">Table of n, a(n) for n = 1..125</a>
%e Some solutions for n=3 k=4
%e ..0..1..1..1....0..0..0..0....0..0..0..1....0..0..0..0....0..1..1..1
%e ..1..1..1..1....0..0..1..0....0..0..2..2....0..1..2..2....1..1..1..1
%e ..1..0..1..1....0..0..1..1....2..2..2..2....2..2..2..2....1..1..1..0
%Y Column 1 is A007581(n-1)
%Y Row 1 is A222372
%K nonn,tabl
%O 1,3
%A _R. H. Hardin_ Mar 09 2013
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