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

1,2

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

Links

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

Example

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

Crossrefs

Column 1 is A056273

Sequence in context: A120406 A050157 A209503 * A209465 A209527 A054255

Adjacent sequences: A209741 A209742 A209743 * A209745 A209746 A209747

Keyword

nonn,tabl

Author

R. H. Hardin Mar 12 2012

Status

approved