A265663 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element plus any horizontal or vertical neighbor equal to n-1.

1, 0, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 4, 112, 48, 0, 0, 16, 1608, 4912, 240, 0, 0, 60, 34056, 951040, 265440, 1968, 0, 0, 228, 828152, 234168152, 586218384, 31924032, 13824, 0, 0, 1024, 22810912, 66434312368, 1832864246736, 1092575917680, 3170361984

Offset

1,6

Comments

Table starts

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

....0........0.............0.................0................0..............0

....2........0.............4................16...............60............228

....8......112..........1608.............34056...........828152.......22810912

...48.....4912........951040.........234168152......66434312368.20573458824776

..240...265440.....586218384.....1832864246736.6819382560159264

.1968.31924032.1092575917680.53270988987457584

Links

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

Example

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

Crossrefs

Sequence in context: A266208 A266158 A272822 * A107491 A169775 A329039

Adjacent sequences: A265660 A265661 A265662 * A265664 A265665 A265666

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 12 2015

Status

approved