A198013 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,3,0,1,2 for x=0,1,2,3,4

1, 1, 1, 2, 7, 2, 3, 12, 12, 3, 5, 31, 51, 31, 5, 8, 79, 182, 182, 79, 8, 13, 186, 753, 1165, 753, 186, 13, 21, 465, 3061, 7513, 7513, 3061, 465, 21, 34, 1131, 12503, 46044, 80519, 46044, 12503, 1131, 34, 55, 2776, 51668, 299335, 788961, 788961, 299335, 51668

Offset

1,4

Comments

Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 2's

Table starts

..1....1......2........3..........5............8.............13

..1....7.....12.......31.........79..........186............465

..2...12.....51......182........753.........3061..........12503

..3...31....182.....1165.......7513........46044.........299335

..5...79....753.....7513......80519.......788961........8244976

..8..186...3061....46044.....788961.....12594359......207269787

.13..465..12503...299335....8244976....207269787.....5423217685

.21.1131..51668..1949525...85228247...3406403182...142032661893

.34.2776.213279.12525114..872329104..55679383631..3690857815709

.55.6803.880209.80785537.8957779991.912505114439.96301082564026

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Example

Some solutions containing all values 0 to 4 for n=6 k=4
..1..0..0..2....2..0..0..2....0..0..0..1....0..2..0..2....2..0..0..1
..3..1..2..0....0..2..2..0....0..1..1..3....2..4..2..0....0..2..1..3
..1..0..2..0....0..2..4..2....1..3..1..1....0..2..2..0....0..2..0..1
..0..2..4..2....1..0..2..0....0..2..0..0....1..0..0..0....2..4..2..0
..0..2..2..0....3..1..2..0....2..4..2..2....3..1..0..0....0..2..4..2
..0..0..0..2....1..0..0..2....0..2..0..0....1..0..0..2....0..0..2..0

Crossrefs

Column 1 is A000045

Column 2 is A197229

Sequence in context: A196974 A197561 A197896 * A198155 A197235 A197750

Adjacent sequences: A198010 A198011 A198012 * A198014 A198015 A198016

Keyword

nonn,tabl

Author

R. H. Hardin Oct 20 2011

Status

approved