A254728 - OEIS

%I #4 Feb 06 2015 13:00:20

%S 512,2630,2630,11677,14226,11677,48168,76615,76615,48168,185287,

%T 364039,520824,364039,185287,689386,1645201,3438279,3438279,1645201,

%U 689386,2473062,7620738,21750375,32264339,21750375,7620738,2473062,8658471

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and the central column and the two medians of the diagonal and antidiagonal nondecreasing horizontally and vertically

%C Table starts

%C ......512......2630.......11677.........48168.........185287...........689386

%C .....2630.....14226.......76615........364039........1645201..........7620738

%C ....11677.....76615......520824.......3438279.......21750375........138938314

%C ....48168....364039.....3438279......32264339......264545705.......2224885924

%C ...185287...1645201....21750375.....264545705.....2863637632......32722394252

%C ...689386...7620738...138938314....2224885924....32722394252.....506044306865

%C ..2473062..35110289...888613045...18677147321...369393588378....7806258134979

%C ..8658471.160937385..5611704536..153918583667..4105206149596..118358703000421

%C .29751063.741804750.35547726137.1268250685728.46009312739781.1814886626676510

%H R. H. Hardin, <a href="/A254728/b254728.txt">Table of n, a(n) for n = 1..219</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 38] for n>42

%F k=2: [order 75] for n>91

%e Some solutions for n=2 k=4

%e ..0..0..0..0..0..1....0..1..0..0..0..0....0..1..1..0..0..0....0..1..0..0..0..0

%e ..1..0..0..0..0..1....0..0..0..1..1..0....1..0..0..1..1..0....0..0..0..0..1..1

%e ..0..0..1..1..1..0....0..1..0..0..1..1....0..1..0..1..0..0....1..1..1..1..0..0

%e ..1..0..1..1..1..1....0..1..1..1..1..1....0..1..1..0..0..1....1..0..0..1..0..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 06 2015