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A208353 T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors) 8
1, 2, 2, 5, 15, 5, 15, 100, 100, 15, 51, 868, 1095, 868, 51, 187, 7780, 12625, 12625, 7780, 187, 715, 69988, 153237, 230387, 153237, 69988, 715, 2795, 629860, 1901508, 4773885, 4773885, 1901508, 629860, 2795, 11051, 5668708, 23658861, 103672036 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1.......2.........5..........15.............51............187

....2......15.......100.........868...........7780..........69988

....5.....100......1095.......12625.........153237........1901508

...15.....868.....12625......230387........4773885......103672036

...51....7780....153237.....4773885......191586797.....8045978096

..187...69988...1901508...103672036.....8045978096...647640659639

..715..629860..23658861..2280287753...340596199800.52428246114853

.2795.5668708.294608660.50481169071.14513602070899

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..83

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

CROSSREFS

Column 1 is A007581(n-1)

Sequence in context: A176856 A112709 A291573 * A208001 A200801 A241119

Adjacent sequences:  A208350 A208351 A208352 * A208354 A208355 A208356

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 25 2012

STATUS

approved

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Last modified February 25 20:58 EST 2018. Contains 299656 sequences. (Running on oeis4.)