A204525 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 exactly one way, and new values 0..3 introduced in row major order

3700, 99975, 99975, 2838990, 6099132, 2838990, 72357582, 410928067, 410928067, 72357582, 1908820114, 21954021414, 69278097544, 21954021414, 1908820114, 51725097532, 1313498195386, 8625334175897, 8625334175897, 1313498195386

Offset

1,1

Comments

Table starts

........3700.........99975.......2838990......72357582.......1908820114

.......99975.......6099132.....410928067...21954021414....1313498195386

.....2838990.....410928067...69278097544.8625334175897.1283785888702600

....72357582...21954021414.8625334175897

..1908820114.1313498195386

.51725097532

Links

R. H. Hardin, Table of n, a(n) for n = 1..24

Example

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

Crossrefs

Sequence in context: A035780 A108004 A176386 * A204522 A294088 A252694

Adjacent sequences: A204522 A204523 A204524 * A204526 A204527 A204528

Keyword

nonn,tabl

Author

R. H. Hardin Jan 15 2012

Status

approved