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%I #4 Nov 30 2014 12:55:44
%S 96,552,552,2658,5054,2658,12001,32083,32083,12001,55131,172457,
%T 231618,172457,55131,257417,966212,1452052,1452052,966212,257417,
%U 1201970,5804029,10194430,12191612,10194430,5804029,1201970,5597648,35120036
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements
%C Table starts
%C .......96........552........2658........12001..........55131..........257417
%C ......552.......5054.......32083.......172457.........966212.........5804029
%C .....2658......32083......231618......1452052.......10194430........77352519
%C ....12001.....172457.....1452052.....12191612......109831980......1007412975
%C ....55131.....966212....10194430....109831980.....1203787298.....13378444373
%C ...257417....5804029....77352519...1007412975....13378444373....190531611192
%C ..1201970...35120036...572903455...9109822648...151628039982...2775154020785
%C ..5597648..209215196..4142817734..82472830043..1734021265531..39368472654312
%C .26056421.1237992428.30044582531.753010290232.19751591932782.550648311345318
%H R. H. Hardin, <a href="/A251167/b251167.txt">Table of n, a(n) for n = 1..263</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 11] for n>13
%F k=2: [order 24] for n>27
%F k=3: [order 51] for n>54
%e Some solutions for n=2 k=4
%e ..1..0..0..1..2....1..1..2..3..3....0..0..0..3..3....1..3..3..3..3
%e ..2..2..0..0..1....2..1..0..0..0....2..0..0..0..0....2..0..0..0..3
%e ..0..2..1..1..0....3..2..1..0..0....3..3..3..1..0....2..2..2..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 30 2014
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