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%I #6 Jan 27 2015 08:19:22
%S 512,2616,2616,10684,9209,10684,41140,38392,38392,41140,150016,167637,
%T 195528,167637,150016,514920,637570,970333,970333,637570,514920,
%U 1700100,2228050,3702284,5606832,3702284,2228050,1700100,5487356,7570126
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally and vertically
%C Table starts
%C ......512......2616......10684......41140......150016......514920......1700100
%C .....2616......9209......38392.....167637......637570.....2228050......7570126
%C ....10684.....38392.....195528.....970333.....3702284....13376848.....46946080
%C ....41140....167637.....970333....5606832....21582041....80104299....277964612
%C ...150016....637570....3702284...21582041....68909819...249684274....823990321
%C ...514920...2228050...13376848...80104299...249684274...940766774...3047978749
%C ..1700100...7570126...46946080..277964612...823990321..3047978749...9935634151
%C ..5487356..24603175..151691950..863193207..2489942672..8696762202..29382711821
%C .17402796..77699926..473298612.2642194905..7604477491.26336306288..95953540161
%C .54388900.240604963.1441563263.7927642723.22672034459.78716251434.293785336653
%H R. H. Hardin, <a href="/A254242/b254242.txt">Table of n, a(n) for n = 1..284</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 36]
%F k=2: [order 54]for n>66
%e Some solutions for n=3 k=4
%e ..0..0..0..0..0..1....0..0..0..0..1..1....0..0..0..1..1..0....0..0..0..0..0..1
%e ..0..0..0..1..1..0....0..0..0..0..0..1....1..0..0..1..0..0....0..0..0..0..1..1
%e ..0..1..0..0..0..1....1..1..0..0..1..1....1..0..0..0..0..1....1..0..0..0..1..0
%e ..0..1..0..1..1..1....1..0..0..1..1..1....0..0..0..1..1..1....0..0..0..1..1..0
%e ..1..1..0..0..0..1....0..0..1..1..1..1....1..0..0..1..1..0....0..0..0..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 27 2015
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