A197561 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 4,3,0,2,2 for x=0,1,2,3,4

1, 1, 1, 2, 7, 2, 3, 10, 10, 3, 5, 23, 35, 23, 5, 8, 57, 106, 106, 57, 8, 13, 122, 410, 927, 410, 122, 13, 21, 275, 1479, 4055, 4055, 1479, 275, 21, 34, 623, 5280, 23710, 36877, 23710, 5280, 623, 34, 55, 1394, 18882, 139477, 310658, 310658, 139477, 18882, 1394, 55, 89

Offset

1,4

Comments

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

Table starts

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

..1....7.....10.......23.........57..........122............275

..2...10.....35......106........410.........1479...........5280

..3...23....106......927.......4055........23710.........139477

..5...57....410.....4055......36877.......310658........2817383

..8..122...1479....23710.....310658......4706533.......64257852

.13..275...5280...139477....2817383.....64257852.....1435938748

.21..623..18882...791905...25115833....901951086....31372791803

.34.1394..67751..4560098..223137190..12684564675...696517116880

.55.3133.242440.25954025.1986928549.178322495650.15437789226545

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

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

Crossrefs

Column 1 is A000045

Column 2 is A196316

Sequence in context: A197457 A197307 A196974 * A197896 A198013 A198155

Adjacent sequences: A197558 A197559 A197560 * A197562 A197563 A197564

Keyword

nonn,tabl

Author

R. H. Hardin Oct 16 2011

Status

approved