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%I #4 Jan 31 2015 10:05:58
%S 512,3264,3264,19456,29952,19456,114880,278848,281024,114880,660480,
%T 2523008,3912576,2520832,660480,3727552,21822912,51322752,50028672,
%U 21641920,3727552,20872192,186999040,656964096,1018596736,640020096
%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, vertically and ne-to-sw antidiagonally
%C Table starts
%C .....512......3264......19456.......114880.........660480.........3727552
%C ....3264.....29952.....278848......2523008.......21822912.......186999040
%C ...19456....281024....3912576.....51322752......656964096......8552031360
%C ..114880...2520832...50028672...1018596736....20365586688....410218207872
%C ..660480..21641920..640020096..20457240960...615887502592..18812857512320
%C .3727552.186176000.8348864128.410404894080.18731454463744.871411470160000
%H R. H. Hardin, <a href="/A254491/b254491.txt">Table of n, a(n) for n = 1..284</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 11]
%F k=2: [order 27]
%F k=3: [order 66]
%F Empirical for row n:
%F n=1: [same linear recurrence of order 11]
%F n=2: [order 29]
%F n=3: [order 70]
%e Some solutions for n=2 k=4
%e ..0..1..1..0..0..0....0..1..1..0..0..0....0..1..1..0..0..1....0..1..1..0..0..0
%e ..1..0..0..1..1..1....0..0..1..1..0..1....0..0..1..1..0..1....1..0..0..0..1..0
%e ..1..1..0..0..0..1....1..0..0..0..0..1....1..1..0..0..0..1....0..0..0..0..1..1
%e ..1..0..1..1..1..0....0..0..1..1..0..1....0..0..0..1..0..0....1..1..0..1..1..1
%Y Column 1 and row 1 are A253856
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 31 2015
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