A207283 T(n,k)=Number of nXk 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal

4, 16, 16, 58, 256, 58, 214, 3364, 3364, 214, 788, 45796, 121014, 45796, 788, 2902, 620944, 4686270, 4686270, 620944, 2902, 10686, 8421604, 181121542, 553738958, 181121542, 8421604, 10686, 39350, 114190596, 6979630118, 65396633910

Offset

1,1

Comments

Table starts

.....4.........16.............58.............214..............788

....16........256...........3364...........45796...........620944

....58.......3364.........121014.........4686270........181121542

...214......45796........4686270.......553738958......65396633910

...788.....620944......181121542.....65396633910...23419301672964

..2902....8421604.....6979630118...7655462652196.8271975196175318

.10686..114190596...268686202446.895547972671398

.39350.1548422500.10346388676890

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Sequence in context: A336938 A232516 A220109 * A207479 A207535 A269194

Adjacent sequences: A207280 A207281 A207282 * A207284 A207285 A207286

Keyword

nonn,tabl

Author

R. H. Hardin Feb 16 2012

Status

approved