A199230 T(n,k) = Number of n X k 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to zero or one horizontal or vertical neighbors.

1, 1, 1, 1, 6, 1, 6, 15, 15, 6, 15, 148, 110, 148, 15, 15, 739, 1114, 1114, 739, 15, 90, 1538, 10790, 55956, 10790, 1538, 90, 226, 19458, 108608, 1167274, 1167274, 108608, 19458, 226, 219, 99290, 1114424, 9196334, 49412210, 9196334, 1114424, 99290, 219, 1436

Offset

1,5

Comments

Table starts

....1.......1..........1...........6............15............15............90

....1.......6.........15.........148...........739..........1538.........19458

....1......15........110........1114.........10790........108608.......1114424

....6.....148.......1114.......55956.......1167274.......9196334.....530601540

...15.....739......10790.....1167274......49412210.....792389959...96560931821

...15....1538.....108608.....9196334.....792389959...70698654245.6443389324257

...90...19458....1114424...530601540...96560931821.6443389324257

..226...99290...11614563.11633434848.4344228334421

..219..199245..122555420.92326218546

.1436.2737170.1306096140

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for n=6, k=4
..0..1..0..0....0..1..0..0....0..1..0..0....0..1..0..0....0..1..0..0
..1..2..1..2....2..0..1..2....2..0..1..1....2..0..1..1....1..0..1..2
..1..2..0..1....1..2..0..1....2..1..0..2....1..2..0..2....2..1..0..2
..2..1..0..1....1..2..1..2....0..2..0..2....2..1..2..1....1..2..1..0
..2..0..1..2....0..0..2..1....2..1..2..1....2..0..2..0....1..2..0..2
..0..2..0..2....2..1..2..0....1..2..1..0....0..2..1..1....2..0..2..1

Crossrefs

Sequence in context: A157292 A159828 A131114 * A199101 A366868 A127778

Adjacent sequences: A199227 A199228 A199229 * A199231 A199232 A199233

Keyword

nonn,tabl

Author

R. H. Hardin Nov 04 2011

Status

approved