A267018 -id:A267018 - cp's OEIS frontend

A267278 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any southwest or northwest neighbors modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 2, 1, 10, 5, 6, 1, 35, 15, 5, 24, 1, 126, 109, 24, 4, 120, 1, 462, 574, 137, 24, 2, 720, 1, 1716, 2840, 1138, 293, 3, 4, 5040, 1, 6435, 13767, 12214, 2063, 317, 4, 2, 40320, 1, 24310, 71646, 104742, 18276, 6240, 40, 2, 4, 362880, 1, 92378, 390862, 741057

Offset: 1

R. H. Hardin, Jan 12 2016

Table starts
......1.1..1...1....1......1........1.........1.........1...........1
......1.3.10..35..126....462.....1716......6435.....24310.......92378
......2.5.15.109..574...2840....13767.....71646....390862.....2170370
......6.5.24.137.1138..12214...104742....741057...5022782....35540696
.....24.4.24.293.2063..18276...330969...5977624..79348962...830731810
....120.2..3.317.6240..69265...663855..12954512.466131976.13687472182
....720.4..4..40.8724.315356..4893787..55479601.912215513
...5040.2..2...8.2416.605606.33284502.787556232
..40320.4..4...8..136.275392.92367600
.362880.2..2...5....9..19113

			Some solutions for n=4 k=4
..0..1..2..3....0..2..1..0....0..2..1..3....0..3..0..3....0..2..1..3
..0..1..2..3....2..1..3..2....1..0..3..1....2..0..3..1....2..1..3..2
..0..1..2..3....0..3..1..0....3..2..1..0....0..2..1..3....0..3..1..0
..0..1..2..3....3..1..3..2....2..0..3..2....1..1..2..2....2..0..3..1

R. H. Hardin, Table of n, a(n) for n = 1..126

Column 1 is A000142(n-1).
Row 2 is A001700(n-1).
Row 3 is A266573.
Diagonal is A267018.

cp's OEIS Frontend

A267278 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any southwest or northwest neighbors modulo n and the upper left element equal to 0.

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