A232137 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

6, 36, 44, 200, 728, 328, 1140, 10956, 14752, 2448, 6468, 169692, 602468, 298912, 18272, 36752, 2616952, 25364480, 33162868, 6056640, 136384, 208772, 40399768, 1063744484, 3795674252, 1825568436, 122721280, 1017984, 1186044, 623543776

Offset: 1

Author

R. H. Hardin, Nov 19 2013

Keywords

• nonn
• tabl

Comments

Table starts

.....6......36........200.........1140............6468.............36752

....44.....728......10956.......169692.........2616952..........40399768

...328...14752.....602468.....25364480......1063744484.......44671124016

..2448..298912...33162868...3795674252....433383414596....49550984711452

.18272.6056640.1825568436.568008109436.176569302110496.54960219182423136

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..143

Crossrefs

Column 1 is A102591

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) -4*a(n-2)

k=2: a(n) = 22*a(n-1) -36*a(n-2) +16*a(n-3)

k=3: [order 8]

k=4: [order 14]

k=5: [order 34] for n>36

Empirical for row n:

n=1: a(n) = 6*a(n-1) -11*a(n-3) +4*a(n-4)

n=2: [order 17]

n=3: [order 76] for n>77