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A231651 T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal and vertical neighbors 8
3, 3, 3, 9, 35, 9, 22, 104, 104, 22, 51, 341, 920, 341, 51, 121, 1189, 7682, 7682, 1189, 121, 292, 4040, 61574, 137961, 61574, 4040, 292, 704, 13560, 490760, 2412274, 2412274, 490760, 13560, 704, 1691, 45803, 3929027, 42882766, 96014413, 42882766 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....3......3..........9............22................51..................121

....3.....35........104...........341..............1189.................4040

....9....104........920..........7682.............61574...............490760

...22....341.......7682........137961...........2412274.............42882766

...51...1189......61574.......2412274..........96014413...........3936913977

..121...4040.....490760......42882766........3936913977.........374409597564

..292..13560....3929027.....765163605......161357952814.......35384751611050

..704..45803...31501117...13643499478.....6602715583511.....3335789961947404

.1691.155131..252454167..243317286312...270337779895196...314852421269523851

.4059.524683.2022844426.4340128403053.11069019817530645.29721381118553717447

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..161

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -3*a(n-2) +4*a(n-3) -a(n-4) +a(n-5) for n>6

k=2: [order 11] for n>12

k=3: [order 36] for n>37

EXAMPLE

Some solutions for n=3 k=4

..0..0..0..0....0..0..0..0....0..0..2..2....2..1..1..2....2..2..0..0

..1..1..1..1....0..0..2..2....0..0..0..1....2..1..1..2....2..0..0..0

..1..1..2..2....2..0..0..0....0..2..0..0....1..1..1..2....0..0..1..0

CROSSREFS

Column 1 is A202882 for n>1

Sequence in context: A180439 A298315 A299189 * A160589 A097707 A240533

Adjacent sequences:  A231648 A231649 A231650 * A231652 A231653 A231654

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 12 2013

STATUS

approved

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Last modified September 28 08:33 EDT 2020. Contains 337394 sequences. (Running on oeis4.)