A222666 T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order

1, 0, 0, 0, 0, 0, 3, 2, 2, 3, 4, 9, 2, 9, 4, 8, 26, 44, 44, 26, 8, 10, 103, 110, 452, 110, 103, 10, 55, 446, 2686, 4241, 4241, 2686, 446, 55, 72, 1964, 7624, 62406, 45666, 62406, 7624, 1964, 72, 294, 8624, 186400, 1058776, 2169240, 2169240, 1058776, 186400, 8624, 294

Offset

1,7

Comments

Table starts

....1......0.........0.............3..............4................8

....0......0.........2.............9.............26..............103

....0......2.........2............44............110.............2686

....3......9........44...........452...........4241............62406

....4.....26.......110..........4241..........45666..........2169240

....8....103......2686.........62406........2169240.........85836756

...10....446......7624.......1058776.......33001473.......4437593254

...55...1964....186400......17374571.....2076266347.....258544501925

...72...8624....568750.....288771291....33923371172...16020345244330

..294..38467..13426930....4860565711..2217501880962.1025854594717790

..378.172996..43148672...81668904553.36915666949865

.1883.781826.976797964.1371394427050

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Example

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

Crossrefs

Column 1 is A222269

Sequence in context: A338241 A222456 A222673 * A335401 A324465 A361565

Adjacent sequences: A222663 A222664 A222665 * A222667 A222668 A222669

Keyword

nonn,tabl

Author

R. H. Hardin Feb 28 2013

Status

approved