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%I #4 Dec 01 2012 07:50:53
%S 3,3,3,6,3,6,10,6,7,10,15,10,24,12,15,21,15,64,62,21,21,28,21,147,234,
%T 155,35,28,36,28,308,758,819,356,57,36,45,36,606,2215,3800,2563,789,
%U 91,45,55,45,1144,6089,16159,17007,7877,1716,142,55,66,55,2097,16131,65802
%N T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array
%C Table starts
%C ..3...3.....6.....10......15.......21.......28.......36.......45........55
%C ..3...3.....6.....10......15.......21.......28.......36.......45........55
%C ..6...7....24.....64.....147......308......606.....1144.....2097......3761
%C .10..12....62....234.....758.....2215.....6089....16131....41601....104732
%C .15..21...155....819....3800....16159....65802...262840..1033491...3983613
%C .21..35...356...2563...17007...105936...645589..3916436.23461117.137270726
%C .28..57...789...7877...76385...715430..6705546.63193592
%C .36..91..1716..24318..349806..4968426.71452528
%C .45.142..3676..74901.1607125.34708110
%C .55.216..7708.225552.7199979
%C .66.320.15724.655360
%C .78.462.31125
%H R. H. Hardin, <a href="/A219915/b219915.txt">Table of n, a(n) for n = 1..111</a>
%e Some solutions for n=3 k=4
%e ..0..0..0..0....2..1..1..1....0..0..0..0....2..0..0..0....2..0..0..0
%e ..0..0..0..0....2..1..1..1....0..0..0..0....2..0..0..0....2..0..0..0
%e ..2..2..2..2....2..1..1..1....0..0..0..1....2..2..2..2....2..2..1..1
%Y Column 1, Rows 1 and 2 are A000217 for n>1
%Y Column 2 is A219211
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Dec 01 2012
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