A204320 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..3 introduced in row major order

900, 15309, 15309, 296570, 599534, 296570, 3885869, 24722349, 24722349, 3885869, 61395233, 610123426, 2434061311, 610123426, 61395233, 998872022, 19542294660, 117341267705, 117341267705, 19542294660, 998872022, 15147453273

Offset

1,1

Comments

Table starts

..........900..........15309..........296570..........3885869.........61395233

........15309.........599534........24722349........610123426......19542294660

.......296570.......24722349......2434061311.....117341267705....7934236341512

......3885869......610123426....117341267705....9238032333130.1101610965293914

.....61395233....19542294660...7934236341512.1101610965293914

....998872022...640219515512.567813705120009

..15147453273.19024434539826

.236632580900

Links

R. H. Hardin, Table of n, a(n) for n = 1..40

Example

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

Crossrefs

Sequence in context: A119541 A173486 A258155 * A204316 A283953 A262847

Adjacent sequences: A204317 A204318 A204319 * A204321 A204322 A204323

Keyword

nonn,tabl

Author

R. H. Hardin Jan 14 2012

Status

approved