A208788 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 antidiagonal neighbor (colorings ignoring permutations of colors)

1, 2, 2, 5, 10, 5, 15, 114, 114, 15, 52, 2066, 9089, 2066, 52, 203, 52922, 1515903, 1515903, 52922, 203, 877, 1788850, 435411946, 3038188519, 435411946, 1788850, 877, 4140, 76282138, 193010377345, 12766857248692, 12766857248692

Offset

1,2

Comments

Table starts

....1..........2..................5.........................15

....2.........10................114.......................2066

....5........114...............9089....................1515903

...15.......2066............1515903.................3038188519

...52......52922..........435411946.............12766857248692

..203....1788850.......193010377345..........96847533172181917

..877...76282138....122941305336223.....1203020866861467699281

.4140.3974779402.106980807941644808.22838542212752073231771562

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

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

Crossrefs

Column 1 is A000110

Sequence in context: A273968 A273964 A223062 * A246864 A262924 A331540

Adjacent sequences: A208785 A208786 A208787 * A208789 A208790 A208791

Keyword

nonn,tabl

Author

R. H. Hardin Mar 01 2012

Status

approved