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%I #4 Nov 13 2013 15:43:24
%S 5,13,13,32,61,32,79,252,252,79,200,1120,1699,1120,200,500,5294,12044,
%T 12044,5294,500,1249,23965,92380,157633,92380,23965,1249,3133,107961,
%U 678081,2192216,2192216,678081,107961,3133,7845,492274,4939746,28305214
%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors equal to one
%C Table starts
%C .....5.......13.........32...........79.............200................500
%C ....13.......61........252.........1120............5294..............23965
%C ....32......252.......1699........12044...........92380.............678081
%C ....79.....1120......12044.......157633.........2192216...........28305214
%C ...200.....5294......92380......2192216........55365917.........1260742591
%C ...500....23965.....678081.....28305214......1260742591........49517022951
%C ..1249...107961....4939746....366087332.....28958572406......1970546390784
%C ..3133...492274...36427030...4826593439....681634049374.....80724891499437
%C ..7845..2241508..268422913..63283320895..15907022844385...3270901271636533
%C .19640.10179136.1972567930.827033366868.369796154636660.131957283104436587
%H R. H. Hardin, <a href="/A231806/b231806.txt">Table of n, a(n) for n = 1..220</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +2*a(n-2) +5*a(n-3) -2*a(n-5) -4*a(n-6)
%F k=2: [order 20]
%F k=3: [order 45]
%e Some solutions for n=4 k=4
%e ..0..0..1..0..1....0..0..1..0..0....0..0..0..1..0....0..1..0..1..0
%e ..0..1..0..0..0....1..0..0..0..0....0..1..0..0..0....0..0..0..0..0
%e ..1..0..0..0..1....1..0..0..1..1....0..1..1..0..0....0..0..0..0..0
%e ..1..0..0..0..1....0..1..0..0..0....0..0..1..0..1....0..1..0..0..1
%e ..0..0..0..0..1....0..0..1..0..0....0..0..0..0..0....1..0..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 13 2013
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