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%I #4 Jun 01 2015 11:36:47
%S 512,2679,2679,10762,12156,10762,44548,62096,56526,44548,193488,
%T 323360,425880,304844,193488,827673,1679437,3024724,3064020,1627220,
%U 827673,3456356,8808509,20998652,27571468,21229200,8659189,3456356,14347670
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the medians of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Table starts
%C ......512.......2679.......10762.........44548.........193488...........827673
%C .....2679......12156.......62096........323360........1679437..........8808509
%C ....10762......56526......425880.......3024724.......20998652........147635738
%C ....44548.....304844.....3064020......27571468......236448598.......2068059998
%C ...193488....1627220....21229200.....230967748.....2402910000......26456908324
%C ...827673....8659189...147424970....1980067182....25984470984.....369487230074
%C ..3456356...46288077..1030931222...17303680979...287984893776....5245904339615
%C .14347670..247098224..7213265988..150308716661..3137021616326...72863622332517
%C .59706588.1317234754.50406135414.1302151974414.34069606919962.1011482738365911
%H R. H. Hardin, <a href="/A258511/b258511.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 50] for n>54
%F Empirical for row n:
%F n=1: [same linear recurrence of order 50] for n>54
%e Some solutions for n=2 k=4
%e ..0..1..0..0..1..0....0..0..0..1..0..1....0..0..0..1..0..0....1..1..0..0..1..1
%e ..0..0..0..0..0..1....1..0..1..0..0..0....0..0..0..0..0..0....1..0..0..0..0..1
%e ..1..0..0..0..0..0....0..0..1..0..1..0....0..0..1..0..0..0....1..1..0..0..0..1
%e ..0..1..0..1..1..0....0..1..0..0..1..1....1..1..1..0..0..0....0..0..0..0..0..0
%Y Column 1 and row 1 are A254991
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jun 01 2015
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