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A234786 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no adjacent elements equal and with each 2X2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases 9
76, 484, 484, 3084, 6660, 3084, 19652, 91916, 91916, 19652, 125228, 1269036, 2761748, 1269036, 125228, 797988, 17521780, 83120724, 83120724, 17521780, 797988, 5085004, 241927524, 2502596188, 5465582060, 2502596188, 241927524 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......76.........484...........3084..............19652................125228

......484........6660..........91916............1269036..............17521780

.....3084.......91916........2761748...........83120724............2502596188

....19652.....1269036.......83120724.........5465582060..........359793857812

...125228....17521780.....2502596188.......359793857812........51845281856108

...797988...241927524....75353928188.....23692759265012......7476894104333052

..5085004..3340355564..2268967605156...1560344155530604...1078605317680077396

.32403076.46121153580.68320694237108.102763262525972764.155614824084934672788

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 7*a(n-1) -4*a(n-2)

k=2: a(n) = 16*a(n-1) -31*a(n-2) +10*a(n-3)

k=3: [order 10]

k=4: [order 25]

k=5: [order 70]

EXAMPLE

Some solutions for n=2 k=4

..2..0..3..1..0....3..1..0..1..3....1..0..2..3..2....2..0..3..0..3

..1..3..2..0..1....1..0..1..0..1....0..2..3..2..0....0..3..0..3..0

..0..1..3..2..3....0..1..2..1..0....1..0..2..0..1....1..0..2..1..3

CROSSREFS

Sequence in context: A205926 A205919 A238918 * A234779 A264475 A262790

Adjacent sequences:  A234783 A234784 A234785 * A234787 A234788 A234789

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 30 2013

STATUS

approved

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Last modified October 15 22:25 EDT 2019. Contains 328038 sequences. (Running on oeis4.)