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%I #4 Jan 14 2015 07:06:14
%S 512,2700,2700,12680,12992,12680,47816,60392,60392,47816,178752,
%T 181070,214596,181070,178752,618856,651937,554638,554638,651937,
%U 618856,2201616,2008068,1826190,1713952,1826190,2008068,2201616,7686444,7125170,5735723
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal median nondecreasing horizontally and vertically
%C Table starts
%C ......512......2700.....12680......47816.....178752.....618856.....2201616
%C .....2700.....12992.....60392.....181070.....651937....2008068.....7125170
%C ....12680.....60392....214596.....554638....1826190....5735723....19727216
%C ....47816....181070....554638....1713952....5585260...19866443....64664493
%C ...178752....651937...1826190....5585260...20991976...75927303...232090516
%C ...618856...2008068...5735723...19866443...75927303..250052478...681245242
%C ..2201616...7125170..19727216...64664493..232090516..681245242..1124641848
%C ..7686444..23696686..63219653..209048111..662686319.1390601653..2291068882
%C .27456624..83201751.215108264..630001617.1748296756.3467027641..6153419870
%C .97621664.284492002.694075512.1924934567.4842751104.8832217221.17431190894
%H R. H. Hardin, <a href="/A253820/b253820.txt">Table of n, a(n) for n = 1..241</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 18]
%e Some solutions for n=2 k=4
%e ..0..0..1..1..0..1....0..0..1..0..1..0....0..0..1..1..0..1....0..1..0..1..0..0
%e ..1..0..1..1..1..0....0..0..1..1..0..1....1..0..1..0..1..0....0..0..0..0..0..1
%e ..1..0..1..1..0..0....1..1..1..0..0..1....1..0..0..0..0..0....1..1..0..1..1..0
%e ..1..1..1..1..0..1....0..1..0..0..0..1....1..0..1..1..1..1....0..1..0..1..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 14 2015
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