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A267392
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, west or northeast neighbors modulo n and the upper left element equal to 0.
9
1, 1, 1, 1, 3, 1, 1, 10, 2, 1, 1, 35, 5, 2, 1, 1, 126, 12, 5, 2, 1, 1, 462, 33, 12, 5, 2, 1, 1, 1716, 97, 36, 12, 5, 2, 1, 1, 6435, 278, 127, 36, 12, 5, 2, 1, 1, 24310, 821, 491, 135, 36, 12, 5, 2, 1, 1, 92378, 2504, 1975, 626, 135, 36, 12, 5, 2, 1, 1, 352716, 7766, 7870, 3458, 649, 135
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..5.12..33..97..278..821..2504...7766...24609.....79116.....256012
.1.2..5.12..36.127..491.1975..7870..31298..124276....500855....2061014
.1.2..5.12..36.135..626.3458.20470.120191..684920...3792099...20520497
.1.2..5.12..36.135..649.4189.33828.296985.2634316..22670355..186406508
.1.2..5.12..36.135..649.4277.38879.451730.5950744..80445962.1059841613
.1.2..5.12..36.135..649.4277.39472.501695.8410362.165102597
.1.2..5.12..36.135..649.4277.39472.505780.9072793
.1.2..5.12..36.135..649.4277.39472.505780
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..1..1..2....0..0..0..0....0..1..2..3....0..0..1..2....0..0..1..2
..1..2..2..3....1..1..1..1....1..2..3..0....1..1..2..3....1..1..2..3
..2..3..3..0....2..2..2..2....2..3..0..1....2..2..3..0....1..2..3..3
..3..0..0..1....3..3..3..3....3..0..1..2....3..3..0..1....2..3..0..0
CROSSREFS
Diagonal is A267337.
Row 2 is A001700(n-1).
Row 3 is A266292.
Sequence in context: A267401 A267338 A158695 * A267553 A268115 A106268
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 13 2016
STATUS
approved