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%I #4 Nov 18 2012 14:07:26
%S 2,2,2,3,2,3,4,3,3,4,5,4,8,4,5,6,5,15,15,5,6,7,6,27,35,27,6,7,8,7,46,
%T 81,81,46,7,8,9,8,76,174,247,174,76,8,9,10,9,122,364,689,689,364,122,
%U 9,10,11,10,190,740,1880,2482,1880,740,190,10,11,12,11,287,1459,4994,8744
%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 columns, 0..1 nXk array
%C Table starts
%C ..2..2...3....4......5.......6........7..........8...........9..........10
%C ..2..2...3....4......5.......6........7..........8...........9..........10
%C ..3..3...8...15.....27......46.......76........122.........190.........287
%C ..4..4..15...35.....81.....174......364........740........1459........2778
%C ..5..5..27...81....247.....689.....1880.......4994.......12917.......32349
%C ..6..6..46..174....689....2482.....8744......30122......101738......333863
%C ..7..7..76..364...1880....8744....39967.....180591......808247.....3528186
%C ..8..8.122..740...4994...30122...180591....1086910.....6563582....38760349
%C ..9..9.190.1459..12917..101738...808247....6563582....54162362...437433513
%C .10.10.287.2778..32349..333863..3528186...38760349...437433513..4835495936
%C .11.11.421.5105..78303.1060075.14892204..220439811..3384841935.51024249576
%C .12.12.601.9069.183394.3255831.60674978.1203499419.25003511250
%H R. H. Hardin, <a href="/A219354/b219354.txt">Table of n, a(n) for n = 1..220</a>
%e Some solutions for n=3 k=4
%e ..0..0..1..1....1..1..1..1....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..0..1..1....1..1..1..1....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..0..1..1....1..1..1..1....0..0..0..1....1..1..0..0....0..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Nov 18 2012
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