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%I #4 May 11 2016 14:54:42
%S 1,2,2,3,6,3,4,10,10,4,5,21,24,21,5,6,34,24,24,34,6,7,62,107,60,107,
%T 62,7,8,100,236,210,210,236,100,8,9,171,499,637,768,637,499,171,9,10,
%U 276,1228,1840,1898,1898,1840,1228,276,10,11,458,2753,5792,8211,7468,8211,5792
%N T(n,k)=Number of nXk 0..1 arrays with exactly n+k-2 having value 1 and no three 1s forming an isosceles right triangle.
%C Table starts
%C .1...2....3.....4......5......6.......7.......8.......9......10.......11
%C .2...6...10....21.....34.....62.....100.....171.....276.....458......740
%C .3..10...24....24....107....236.....499....1228....2753....6292....14751
%C .4..21...24....60....210....637....1840....5792...18556...54034...160246
%C .5..34..107...210....768...1898....8211...37402..192579..635086..2366644
%C .6..62..236...637...1898...7468...26052..138476..831738.4677062.23090612
%C .7.100..499..1840...8211..26052..131056..648178.4336294
%C .8.171.1228..5792..37402.138476..648178.4614732
%C .9.276.2753.18556.192579.831738.4336294
%H R. H. Hardin, <a href="/A272958/b272958.txt">Table of n, a(n) for n = 1..126</a>
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1) -a(n-2)
%F k=2: a(n) = a(n-1) +3*a(n-2) -2*a(n-3) -3*a(n-4) +a(n-5) +a(n-6)
%F k=3: [order 72]
%e Some solutions for n=5 k=4
%e ..0..0..1..1. .1..1..0..0. .1..1..1..0. .1..0..0..1. .0..1..0..1
%e ..0..1..0..0. .0..0..0..0. .0..0..0..0. .1..0..0..0. .0..1..0..1
%e ..1..0..0..1. .1..0..0..1. .0..1..0..0. .0..0..0..1. .0..0..0..0
%e ..0..0..0..1. .0..1..0..0. .0..0..1..0. .0..0..1..0. .0..0..0..0
%e ..0..0..0..1. .0..0..1..1. .1..0..0..1. .1..0..1..0. .1..1..1..0
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, May 11 2016