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%I #5 Mar 31 2012 12:37:04
%S 16,40,40,98,64,98,238,90,90,238,584,146,144,146,584,1432,244,220,220,
%T 244,1432,3516,386,347,376,347,386,3516,8622,638,524,528,528,524,638,
%U 8622,21158,1018,850,784,856,784,850,1018,21158,51894,1666,1268,1192
%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors
%C Table starts
%C ...16...40...98..238..584.1432.3516.8622.21158.51894.127322.312310.766198
%C ...40...64...90..146..244..386..638.1018..1666..2676...4360...7024..11418
%C ...98...90..144..220..347..524..850.1268..2048..3060...4942...7388..11938
%C ..238..146..220..376..528..784.1192.1792..2744..4140...6288...9468..14376
%C ..584..244..347..528..856.1232.1852.2640..4056..5776...8948..12784..19776
%C .1432..386..524..784.1232.1984.2752.3936..5728..8288..12160..17872..26240
%C .3516..638..850.1192.1852.2752.4480.6208..9168.12480..18688..25664..38832
%C .8622.1018.1268.1792.2640.3936.6208.9856.13568.18944..26752..37632..53760
%H R. H. Hardin, <a href="/A205072/b205072.txt">Table of n, a(n) for n = 1..1299</a>
%e Some solutions for n=4 k=3
%e ..1..1..0..1....0..1..1..1....0..1..0..1....0..1..1..1....1..0..0..0
%e ..0..1..0..0....1..1..0..1....0..0..0..0....1..0..1..0....0..1..0..0
%e ..0..1..1..1....1..1..1..0....1..1..0..1....1..1..1..1....0..0..1..0
%e ..0..0..0..1....0..1..1..1....0..1..0..0....0..0..1..0....0..0..0..1
%e ..0..1..0..1....1..0..1..1....1..1..1..1....1..0..1..1....1..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 21 2012