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%I #4 Feb 11 2015 13:16:29
%S 512,2679,2679,10762,14320,10762,44548,70331,70331,44548,193488,
%T 369357,503440,369357,193488,827673,1939341,3575520,3575520,1939341,
%U 827673,3456356,10216539,24807024,32507240,24807024,10216539,3456356,14347670
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the medians of the central row and column nondecreasing horizontally and vertically
%C Table starts
%C ......512.......2679.......10762.........44548.........193488...........827673
%C .....2679......14320.......70331........369357........1939341.........10216539
%C ....10762......70331......503440.......3575520.......24807024........173958123
%C ....44548.....369357.....3575520......32507240......279655310.......2437254993
%C ...193488....1939341....24807024.....279655310.....2907772796......31738435946
%C ...827673...10216539...173958123....2437254993....31738435946.....446654943404
%C ..3456356...54357112..1221043730...21345394571...351447919966....6335613688670
%C .14347670..289904665..8537684121..185809115750..3833363797172...88118860757033
%C .59706588.1544994778.59658144024.1614349898421.41743093666360.1226510345770217
%H R. H. Hardin, <a href="/A254998/b254998.txt">Table of n, a(n) for n = 1..127</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 50] for n>54
%e Some solutions for n=2 k=4
%e ..0..0..0..0..1..1....0..0..1..1..0..0....0..0..0..1..0..0....0..0..0..1..0..1
%e ..0..0..0..0..0..1....0..0..0..0..1..1....1..0..0..1..0..0....0..0..0..0..0..0
%e ..0..0..0..1..0..0....0..0..0..1..1..0....1..0..0..0..1..0....1..0..0..0..1..0
%e ..0..1..1..1..1..1....1..0..1..0..0..1....1..0..0..0..1..0....0..1..0..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 11 2015
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