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

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

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 A363843

Adjacent sequences: A234783 A234784 A234785 * A234787 A234788 A234789

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 30 2013

Status

approved