A208392 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors

1, 2, 2, 5, 14, 5, 14, 117, 122, 14, 41, 1017, 3042, 1094, 41, 122, 8838, 76806, 79092, 9842, 122, 365, 76806, 1937736, 5800644, 2056392, 88574, 365, 1094, 667476, 48890520, 424785708, 438083928, 53466192, 797162, 1094, 3281, 5800644

Offset

1,2

Comments

Table starts

....1.......2...........5..............14.................41

....2......14.........117............1017...............8838

....5.....122........3042...........76806............1937736

...14....1094.......79092.........5800644..........424785708

...41....9842.....2056392.......438083928........93120350760

..122...88574....53466192.....33085555344.....20413586117376

..365..797162..1390120992...2498731184736...4475009970818208

.1094.7174454.36143145792.188712490047552.980999326809336384

Links

R. H. Hardin, Table of n, a(n) for n = 1..301

Example

Some solutions for n=4 k=3
..0..0..1....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..1
..2..0..2....0..1..2....1..1..1....0..1..2....1..2..1....2..0..2....2..0..2
..1..0..2....0..0..0....1..0..0....2..0..0....0..2..2....2..2..0....0..2..2
..1..2..1....1..2..0....1..2..2....1..0..1....0..0..2....0..2..1....2..0..2

Crossrefs

Column 1 is A007051(n-1)

Column 2 is A199560(n-1)

Row 1 is A007051(n-1)

Sequence in context: A282056 A199655 A241114 * A282275 A208201 A185966

Adjacent sequences: A208389 A208390 A208391 * A208393 A208394 A208395

Keyword

nonn,tabl

Author

R. H. Hardin Feb 25 2012

Status

approved