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A267655 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 southwest neighbors modulo n and the upper left element equal to 0. 5
1, 1, 1, 1, 3, 1, 1, 10, 4, 1, 1, 35, 17, 3, 1, 1, 126, 66, 23, 3, 1, 1, 462, 324, 123, 21, 3, 1, 1, 1716, 1565, 657, 221, 17, 3, 1, 1, 6435, 7908, 4765, 1811, 268, 17, 3, 1, 1, 24310, 41440, 36055, 13359, 4585, 203, 17, 3, 1, 1, 92378, 219394, 256836, 129319, 55105, 7672, 167 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1.1..1...1....1......1.........1..........1...........1...........1

.1.3.10..35..126....462......1716.......6435.......24310.......92378

.1.4.17..66..324...1565......7908......41440......219394.....1181538

.1.3.23.123..657...4765.....36055.....256836.....1888443....14723754

.1.3.21.221.1811..13359....129319....1586523....18730678...199349073

.1.3.17.268.4585..55105....569689....7128794...126811891..2572337388

.1.3.17.203.7672.201362...3562990...52241496...855234512.19809675462

.1.3.17.167.7145.467919..18784855..491779927.10416831490

.1.3.17.167.5356.608250..61856471.3779928997

.1.3.17.167.4640.513398.115115782

Empirical: column k descends to a constant at n=2k, the final constant for k=1..7 being 1 3 17 167 4640 348814 77196948

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..142

EXAMPLE

Some solutions for n=6 k=4

..0..0..2..3....0..1..2..3....0..1..2..4....0..2..3..5....0..2..2..4

..0..1..2..4....1..1..2..4....0..1..3..5....1..2..4..5....1..2..3..5

..0..1..3..5....1..2..3..5....1..2..4..5....2..3..4..0....1..3..4..5

..1..2..4..5....2..3..4..0....2..3..4..5....2..3..5..0....2..3..5..0

..1..3..4..5....3..4..5..0....2..3..5..0....3..4..0..1....3..4..0..1

..2..3..4..5....4..5..5..0....3..4..0..1....4..5..1..1....4..5..0..1

CROSSREFS

Row 2 is A001700(n-1).

Row 3 is A266862.

Sequence in context: A267553 A268115 A106268 * A263864 A060543 A267751

Adjacent sequences:  A267652 A267653 A267654 * A267656 A267657 A267658

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 19 2016

STATUS

approved

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Last modified March 21 22:19 EDT 2019. Contains 321382 sequences. (Running on oeis4.)