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%I #4 Jan 17 2015 08:12:28
%S 512,3264,3264,19456,30848,19456,114880,291392,291392,114880,660480,
%T 2654464,4186496,2654464,660480,3727552,22951616,54933632,54933632,
%U 22951616,3727552,20872192,196953728,700079360,1095205120,700079360
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal minimum nondecreasing horizontally and vertically
%C Table starts
%C .......512.........3264..........19456...........114880.............660480
%C ......3264........30848.........291392..........2654464...........22951616
%C .....19456.......291392........4186496.........54933632..........700079360
%C ....114880......2654464.......54933632.......1095205120........21906994304
%C ....660480.....22951616......700079360......21906994304.......664082571648
%C ...3727552....196953728.....9090451328.....440235663616.....20237970640000
%C ..20872192...1698464064...118920758784....8790291559808....612253982192000
%C .116568256..14584992256..1541740409984..174215495453184..18456265054053248
%C .649733120.125182611904.20040279401216.3458303106355840.555946540182616960
%H R. H. Hardin, <a href="/A253863/b253863.txt">Table of n, a(n) for n = 1..179</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 11]
%F k=2: [order 29]
%F k=3: [order 70]
%e Some solutions for n=2 k=4
%e ..0..1..0..0..1..1....0..1..0..0..1..1....1..0..1..0..1..1....0..1..1..0..0..0
%e ..0..0..0..0..1..1....0..0..0..0..1..1....0..0..0..0..0..1....1..0..0..1..1..1
%e ..0..0..0..1..1..1....1..0..0..0..1..0....1..0..0..1..1..1....0..0..1..1..1..0
%e ..0..0..1..1..0..1....1..1..1..1..1..1....1..0..1..1..0..0....0..1..1..1..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 17 2015
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