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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
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, 1716, 410, 61, 14, 5, 2, 1, 1, 6435, 2109, 350, 55, 14, 5, 2, 1, 1, 24310, 11097, 2437, 287, 54, 14, 5, 2, 1, 1, 92378, 59698, 18530, 2165, 279, 54, 14, 5, 2, 1, 1, 352716, 325240
OFFSET
1,5
COMMENTS
Table starts
.1.1..1..1...1...1....1.....1......1.......1.........1..........1...........1
.1.3.10.35.126.462.1716..6435..24310...92378....352716....1352078.....5200300
.1.2..6.20..83.410.2109.11097..59698..325240...1786820....9888567....55061514
.1.2..5.15..61.350.2437.18530.145263.1156222...9288411...75111303...610606621
.1.2..5.14..55.287.2165.21835.252726.3096256..38732624..488632335..6180876159
.1.2..5.14..54.279.2041.22189.326500.5621462.104501293.2016824167.39643063478
.1.2..5.14..54.278.2033.21781.345443.7589059.200130901.5749483969
.1.2..5.14..54.278.2032.21772.345853.8164233.271504873
.1.2..5.14..54.278.2032.21771.345843.8152191
.1.2..5.14..54.278.2032.21771.345842
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..0..1..2....0..0..0..0....0..3..0..1....0..1..2..3....0..0..1..1
..1..1..2..3....1..1..1..1....0..0..1..2....1..2..3..0....1..1..2..2
..1..2..3..3....2..2..2..2....1..1..2..3....2..3..0..1....2..2..3..3
..2..3..0..0....3..3..3..3....2..2..3..3....3..0..1..2....3..3..0..0
CROSSREFS
Row 2 is A001700(n-1).
Row 3 is A266600.
Sequence in context: A267338 A158695 A267392 * A268115 A106268 A267655
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 17 2016
STATUS
approved