A209744 T(n,k)=Number of nXk 0..5 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..5 introduced in row major order.

1, 2, 2, 5, 6, 5, 15, 57, 57, 15, 52, 700, 2025, 700, 52, 203, 10594, 103373, 103373, 10594, 203, 876, 183240, 6262064, 20611956, 6262064, 183240, 876, 4111, 3412100, 404495219, 4474325828, 4474325828, 404495219, 3412100, 4111, 20648, 65953664

Offset: 1

Author

R. H. Hardin Mar 12 2012

Keywords

• nonn
• tabl

Comments

Table starts

....1........2.............5................15.....................52

....2........6............57...............700..................10594

....5.......57..........2025............103373................6262064

...15......700........103373..........20611956.............4474325828

...52....10594.......6262064........4474325828..........3309942226828

..203...183240.....404495219......991613495404.......2462887498725440

..876..3412100...26715084257...220845828478730....1834383283218723590

.4111.65953664.1777603386801.49242046909442868.1366486932112899379170

Examples

			Some solutions for n=5 k=3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1
..1..2..1....1..2..1....1..2..1....1..2..1....1..2..1....1..2..1....1..2..0
..0..1..0....3..3..1....2..3..1....0..0..1....0..0..0....2..0..0....0..0..1
..1..2..0....0..1..2....1..2..3....2..1..2....1..3..4....0..3..4....1..2..0
..3..1..0....0..3..1....0..0..0....1..0..0....1..5..3....0..5..4....1..0..3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..112

Crossrefs

Column 1 is A056273