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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
7
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 28 2013
STATUS
approved