A183554 T(n,k)=Number of nXk 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

0, 3, 3, 3, 15, 3, 9, 71, 71, 9, 15, 299, 583, 299, 15, 33, 1325, 5287, 5287, 1325, 33, 63, 5845, 46841, 95101, 46841, 5845, 63, 129, 25785, 417809, 1728533, 1728533, 417809, 25785, 129, 255, 113841, 3721925, 31363527, 63868351, 31363527, 3721925, 113841

Offset: 1

Author

R. H. Hardin Jan 05 2011

Keywords

• nonn
• tabl

Comments

Table starts

...0.......3..........3.............9...............15..................33

...3......15.........71...........299.............1325................5845

...3......71........583..........5287............46841..............417809

...9.....299.......5287.........95101..........1728533............31363527

..15....1325......46841.......1728533.........63868351..........2359134621

..33....5845.....417809......31363527.......2359134621........177385265619

..63...25785....3721925.....569461759......87176303417......13344696858771

.129..113841...33169105...10339213765....3221377019429....1003889179688773

.255..502523..295565367..187720469393..119037100116183...75519989933088273

.513.2218399.2633809823.3408294462361.4398697422258081.5681183354145927001

Examples

			Some solutions for 4X3
..0..0..1....0..0..1....0..0..0....0..0..1....1..0..0....1..1..0....1..1..1
..2..0..1....0..2..1....2..2..0....2..2..1....1..1..0....0..0..0....1..2..1
..2..0..0....2..2..2....2..1..2....2..1..1....0..1..0....0..0..1....1..2..1
..2..2..2....0..0..0....2..1..2....2..2..1....0..1..1....2..2..1....1..2..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..127

Crossrefs

Column 1 is A062510(n-1)