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A267553 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north or northeast neighbors modulo n and the upper left element equal to 0. 10

%I

%S 1,1,1,1,3,1,1,10,2,1,1,35,6,2,1,1,126,20,5,2,1,1,462,83,15,5,2,1,1,

%T 1716,410,61,14,5,2,1,1,6435,2109,350,55,14,5,2,1,1,24310,11097,2437,

%U 287,54,14,5,2,1,1,92378,59698,18530,2165,279,54,14,5,2,1,1,352716,325240

%N T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north or northeast neighbors modulo n and the upper left element equal to 0.

%C Table starts

%C .1.1..1..1...1...1....1.....1......1.......1.........1..........1...........1

%C .1.3.10.35.126.462.1716..6435..24310...92378....352716....1352078.....5200300

%C .1.2..6.20..83.410.2109.11097..59698..325240...1786820....9888567....55061514

%C .1.2..5.15..61.350.2437.18530.145263.1156222...9288411...75111303...610606621

%C .1.2..5.14..55.287.2165.21835.252726.3096256..38732624..488632335..6180876159

%C .1.2..5.14..54.279.2041.22189.326500.5621462.104501293.2016824167.39643063478

%C .1.2..5.14..54.278.2033.21781.345443.7589059.200130901.5749483969

%C .1.2..5.14..54.278.2032.21772.345853.8164233.271504873

%C .1.2..5.14..54.278.2032.21771.345843.8152191

%C .1.2..5.14..54.278.2032.21771.345842

%H R. H. Hardin, <a href="/A267553/b267553.txt">Table of n, a(n) for n = 1..177</a>

%e Some solutions for n=4 k=4

%e ..0..0..1..2....0..0..0..0....0..3..0..1....0..1..2..3....0..0..1..1

%e ..1..1..2..3....1..1..1..1....0..0..1..2....1..2..3..0....1..1..2..2

%e ..1..2..3..3....2..2..2..2....1..1..2..3....2..3..0..1....2..2..3..3

%e ..2..3..0..0....3..3..3..3....2..2..3..3....3..0..1..2....3..3..0..0

%Y Row 2 is A001700(n-1).

%Y Row 3 is A266600.

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Jan 17 2016

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Last modified February 22 17:35 EST 2019. Contains 320400 sequences. (Running on oeis4.)