A267751 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 neighbor modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 1, 1, 10, 5, 1, 1, 35, 39, 8, 1, 1, 126, 357, 118, 11, 1, 1, 462, 3471, 2386, 313, 15, 1, 1, 1716, 35003, 54956, 13451, 780, 19, 1, 1, 6435, 362265, 1350674, 679735, 68151, 1789, 24, 1, 1, 24310, 3821877, 34568612, 37668275, 7280046, 314491, 4024

Offset: 1

Author

R. H. Hardin, Jan 20 2016

Keywords

• nonn
• tabl

Comments

Table starts

.1..1....1.......1........1.........1............1............1...........1

.1..3...10......35......126.......462.........1716.........6435.......24310

.1..5...39.....357.....3471.....35003.......362265......3821877....40918431

.1..8..118....2386....54956...1350674.....34568612....910791802.24537293344

.1.11..313...13451...679735..37668275...2218059985.136270559675

.1.15..780...68151..7280046.873319806.113187903900

.1.19.1789..314491.69784981

.1.24.4024.1381976

.1.29.8793

.1.35

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..72

Crossrefs

Diagonal is A267624.

Column 2 is A024206(n+1).

Row 2 is A001700(n-1).

Row 3 is A266456.