A197350 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 3,3,1,1,0 for x=0,1,2,3,4

1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 17, 18, 17, 1, 1, 33, 83, 83, 33, 1, 1, 89, 245, 441, 245, 89, 1, 1, 249, 914, 2289, 2289, 914, 249, 1, 1, 553, 3155, 12399, 17577, 12399, 3155, 553, 1, 1, 1321, 11287, 71411, 152111, 152111, 71411, 11287, 1321, 1, 1, 3361, 39850, 387651

Offset

1,8

Comments

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

Table starts

.1....1......1........1.........1...........1.............1...............1

.1....1......9.......17........33..........89...........249.............553

.1....9.....18.......83.......245.........914..........3155...........11287

.1...17.....83......441......2289.......12399.........71411..........387651

.1...33....245.....2289.....17577......152111.......1367870........11976207

.1...89....914....12399....152111.....2036994......28226359.......380264123

.1..249...3155....71411...1367870....28226359.....617973077.....13101311077

.1..553..11287...387651..11976207...380264123...13101311077....434261782615

.1.1321..39850..2116197.102819888..5116945034..275521117202..14245462793387

.1.3361.141325.11718977.901652503.69501003275.5873309926156.473435630742173

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..1..3..1....0..0..0..0....0..0..0..1....0..0..0..0....1..0..0..1
..3..1..1..2....0..0..4..0....0..0..1..3....0..4..0..0....3..1..1..3
..1..0..0..0....2..1..0..0....0..4..0..1....1..0..4..0....1..0..2..1
..0..4..0..0....1..3..2..1....0..0..2..1....3..1..0..0....0..0..0..0
..0..0..4..0....2..1..1..3....0..1..1..3....1..0..1..0....0..0..4..0
..0..0..0..0....0..0..2..1....1..3..1..1....2..1..3..1....0..0..0..0

Crossrefs

Sequence in context: A277069 A197503 A197401 * A197364 A338217 A174266

Adjacent sequences: A197347 A197348 A197349 * A197351 A197352 A197353

Keyword

nonn,tabl

Author

R. H. Hardin Oct 13 2011

Status

approved