A204538 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 or nw-to-se diagonally exactly two ways, and new values 0..3 introduced in row major order

660, 9043, 9043, 132993, 212290, 132993, 1303179, 5430396, 5430396, 1303179, 16041873, 87110239, 271257261, 87110239, 16041873, 207574351, 1851793487, 6010070946, 6010070946, 1851793487, 207574351, 2345643287, 42694542185

Offset

1,1

Comments

Table starts

.........660.........9043.........132993.......1303179......16041873

........9043.......212290........5430396......87110239....1851793487

......132993......5430396......271257261....6010070946..223736066952

.....1303179.....87110239.....6010070946..175609133220.9923132759682

....16041873...1851793487...223736066952.9923132759682

...207574351..42694542185.10108774450967

..2345643287.825548834273

.28467730050

Links

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

Example

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

Crossrefs

Sequence in context: A206642 A064261 A235770 * A204534 A235553 A342994

Adjacent sequences: A204535 A204536 A204537 * A204539 A204540 A204541

Keyword

nonn,tabl

Author

R. H. Hardin Jan 16 2012

Status

approved