A234832 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with each 2X2 subblock having the number of clockwise edge increases less than or equal to the number of counterclockwise edge increases

69, 516, 516, 3843, 9207, 3843, 28602, 161631, 161631, 28602, 212850, 2826144, 6566460, 2826144, 212850, 1583955, 49366557, 263929692, 263929692, 49366557, 1583955, 11787201, 862112943, 10572386472, 24157113543, 10572386472

Offset

1,1

Comments

Table starts

.......69.........516...........3843.............28602...............212850

......516........9207.........161631...........2826144.............49366557

.....3843......161631........6566460.........263929692..........10572386472

....28602.....2826144......263929692.......24157113543........2194611652359

...212850....49366557....10572386472.....2194611652359......449708506898208

..1583955...862112943...423046102605...198813266559054....91647618370398336

.11787201.15054585588.16922003634471.17991495416997300.18633171647248503816

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Formula

Empirical for column k:

k=1: a(n) = 9*a(n-1) -12*a(n-2) +3*a(n-3)

k=2: a(n) = 23*a(n-1) -102*a(n-2) +93*a(n-3) -9*a(n-4)

k=3: [order 13]

k=4: [order 28]

k=5: [order 92]

Example

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

Crossrefs

Sequence in context: A236158 A253342 A253335 * A234825 A251010 A251003

Adjacent sequences: A234829 A234830 A234831 * A234833 A234834 A234835

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 31 2013

Status

approved