A204685 T(n,k)=Number of nXk 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..3 introduced in row major order

1, 2, 2, 4, 15, 4, 12, 159, 159, 12, 40, 2191, 6451, 2191, 40, 143, 31168, 287379, 287379, 31168, 143, 528, 447343, 12711292, 40919141, 12711292, 447343, 528, 1979, 6427791, 563046972, 5770321516, 5770321516, 563046972, 6427791, 1979, 7466, 92387812

Offset

1,2

Comments

Table starts

....1........2.............4..............12...............40..............143

....2.......15...........159............2191............31168...........447343

....4......159..........6451..........287379.........12711292........563046972

...12.....2191........287379........40919141.......5770321516.....815364171994

...40....31168......12711292......5770321516....2579588216958.1155411237719424

..143...447343.....563046972....815364171994.1155411237719424

..528..6427791...24932875448.115180678788869

.1979.92387812.1104148318540

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=5 k=3
..0..0..1....0..1..0....0..0..1....0..0..1....0..0..1....0..1..1....0..0..1
..2..3..1....2..0..3....2..2..1....0..0..2....0..1..0....0..0..1....0..1..0
..1..1..3....1..2..1....0..3..2....1..3..1....2..3..3....2..0..2....2..2..1
..3..3..1....0..1..0....2..0..2....1..2..0....0..1..0....2..1..1....1..2..2
..0..1..1....2..2..3....3..3..1....2..0..1....1..2..1....3..1..0....0..1..3

Crossrefs

Sequence in context: A006205 A360194 A268073 * A205161 A205310 A222924

Adjacent sequences: A204682 A204683 A204684 * A204686 A204687 A204688

Keyword

nonn,tabl

Author

R. H. Hardin Jan 18 2012

Status

approved