A266572 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its northwest or southwest neighbor modulo n and the upper left element equal to 0.

1, 1, 1, 1, 1, 2, 1, 1, 5, 6, 1, 1, 15, 74, 24, 1, 1, 109, 2320, 2668, 120, 1, 1, 574, 77830, 729874, 150836, 720, 1, 1, 2840, 2595190, 227032241, 466056593, 12011058, 5040, 1, 1, 13767, 94930586, 81044162960, 1814200905314, 515679132204, 1279437414

Offset: 1

Author

R. H. Hardin, Jan 01 2016

Keywords

• nonn
• tabl

Comments

Table starts

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

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

.....2..........5...........15...........109.........574.....2840......13767

.....6.........74.........2320.........77830.....2595190.94930586.3708826784

....24.......2668.......729874.....227032241.81044162960

...120.....150836....466056593.1814200905314

...720...12011058.515679132204

..5040.1279437414

.40320

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..49

Crossrefs

Column 1 is A000142(n-1).