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A208001 T(n,k)=Number of nXk nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors) 4
1, 2, 2, 5, 15, 5, 15, 114, 114, 15, 52, 1657, 4141, 1657, 52, 203, 36401, 426422, 426422, 36401, 203, 877, 1094076, 86545486, 450288795, 86545486, 1094076, 877, 4140, 42436913, 29169661126, 1182700979380, 1182700979380, 29169661126, 42436913 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1........2...........5............15............52.........203

....2.......15.........114..........1657.........36401.....1094076

....5......114........4141........426422......86545486.29169661126

...15.....1657......426422.....450288795.1182700979380

...52....36401....86545486.1182700979380

..203..1094076.29169661126

..877.42436913

.4140

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..39

EXAMPLE

Some solutions for n=4 k=3

..0..0..0....0..0..0....0..0..0....0..1..0....0..0..1....0..0..0....0..0..0

..1..0..1....1..2..1....1..0..1....1..0..1....0..0..1....1..0..1....1..0..1

..2..1..2....2..1..2....2..1..2....0..1..2....2..2..1....2..1..2....2..2..2

..1..0..3....3..0..0....1..0..1....1..2..1....2..3..1....1..2..1....1..0..1

CROSSREFS

Column 1 is A000110

Sequence in context: A112709 A291573 A208353 * A200801 A241119 A208408

Adjacent sequences:  A207998 A207999 A208000 * A208002 A208003 A208004

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 22 2012

STATUS

approved

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Last modified August 8 21:32 EDT 2022. Contains 356016 sequences. (Running on oeis4.)