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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 (list; table; graph; refs; listen; history; text; internal format)
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 A334592

Adjacent sequences:  A222663 A222664 A222665 * A222667 A222668 A222669

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 28 2013

STATUS

approved

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Last modified November 27 20:49 EST 2021. Contains 349395 sequences. (Running on oeis4.)