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%I #6 Feb 10 2015 07:50:39
%S 512,2540,2540,9560,7212,9560,35272,23295,26370,35272,123448,81959,
%T 89310,98002,123448,404672,261188,301423,313324,279743,404672,1267488,
%U 806538,832322,1016249,642050,774662,1267488,3838248,2368198,2360757,2822619
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Table starts
%C ......512.....2540.....9560....35272...123448...404672...1267488...3838248
%C .....2540.....7212....23295....81959...261188...806538...2368198...6624259
%C .....9560....26370....89310...301423...832322..2360757...6432784..15616153
%C ....35272....98002...313324..1016249..2822619..8285305..21891465..45311405
%C ...123448...279743...642050..1704423..3486340..8213023..18851978..39885980
%C ...404672...774662..1467412..3145824..5870794.12820652..28891318..56477396
%C ..1267488..2035893..3051110..6033603.12254144.26519069..45398628..79505757
%C ..3838248..5114873..6150750.10739096.19987425.34765879..57587604.102538840
%C .11314584.12474341.12535008.18887562.26795890.46504548..84247446.154935679
%C .32633748.29590558.24511673.33697678.47595465.78312596.134567960.236970540
%H R. H. Hardin, <a href="/A254020/b254020.txt">Table of n, a(n) for n = 1..420</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 43] for n>46
%F Empirical for row n:
%F n=1: [same linear recurrence of order 43] for n>46
%e Some solutions for n=3 k=4
%e ..0..0..0..1..1..1....0..0..1..1..0..1....0..0..0..0..0..0....0..0..1..1..0..0
%e ..0..0..0..1..0..1....0..0..0..0..0..1....0..0..0..1..0..0....0..1..0..1..0..1
%e ..1..1..1..1..0..0....1..1..1..1..1..1....0..1..0..0..0..1....1..1..0..1..0..1
%e ..1..1..1..1..1..1....0..0..1..1..1..1....0..0..0..1..1..1....1..1..1..1..1..1
%e ..0..1..1..1..1..1....0..0..1..0..1..1....1..0..1..1..0..0....0..0..1..0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 22 2015
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