A204351 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..3 introduced in row major order

9672, 540324, 540324, 30378276, 109655775, 30378276, 1708802980, 22275534255, 22275534255, 1708802980, 96125591660, 4524628081600, 16256855591536, 4524628081600, 96125591660, 5407387617220, 919046909794048

Offset

1,1

Comments

Table starts

..............9672.................540324.....................30378276

............540324..............109655775..................22275534255

..........30378276............22275534255...............16256855591536

........1708802980..........4524628081600............11860456910608960

.......96125591660........919046909794048..........8653701637919899728

.....5407387617220.....186677705463298720.......6313899655904879255175

...304183813284988...37918176847270068655....4606746353051274080442020

.17111367047366980.7701980533069758424335.3361172935168170742873724992

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

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

Crossrefs

Sequence in context: A237674 A183851 A238036 * A204344 A204343 A068362

Adjacent sequences: A204348 A204349 A204350 * A204352 A204353 A204354

Keyword

nonn,tabl

Author

R. H. Hardin Jan 14 2012

Status

approved