A231651 T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

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

Offset: 1

Author

R. H. Hardin, Nov 12 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A202882 for n>1

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