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A253820 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 9

%I

%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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Last modified October 7 14:13 EDT 2022. Contains 357271 sequences. (Running on oeis4.)