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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified August 17 00:01 EDT 2022. Contains 356180 sequences. (Running on oeis4.)