A209553 T(n,k)=1/4 the number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having exactly two distinct clockwise edge differences

7, 20, 20, 61, 105, 61, 191, 562, 562, 191, 603, 3051, 5075, 3051, 603, 1909, 16582, 46515, 46515, 16582, 1909, 6049, 90186, 425803, 723636, 425803, 90186, 6049, 19173, 490547, 3901194, 11226644, 11226644, 3901194, 490547, 19173, 60777, 2668340

Offset

1,1

Comments

Table starts

.....7......20........61.........191...........603............1909

....20.....105.......562........3051.........16582...........90186

....61.....562......5075.......46515........425803.........3901194

...191....3051.....46515......723636......11226644.......174401424

...603...16582....425803....11226644.....294738262......7751834609

..1909...90186...3901194...174401424....7751834609....345350598642

..6049..490547..35741496..2708892873..203828058161..15380031974285

.19173.2668340.327471411.42079740150.5360172454106.685056630399243

Links

R. H. Hardin, Table of n, a(n) for n = 1..364

Example

Some solutions for n=4 k=3
..0..2..0..2....0..3..2..3....3..2..3..0....1..0..3..0....0..1..2..1
..2..0..2..0....1..2..3..2....2..3..2..1....2..3..0..3....3..2..1..0
..0..2..0..2....2..1..2..1....1..0..1..2....1..2..1..2....0..1..2..1
..2..0..2..0....3..0..1..0....0..1..2..1....2..1..0..3....3..2..3..0
..0..2..0..2....2..1..2..1....3..2..3..2....1..2..3..0....0..1..2..1

Crossrefs

Sequence in context: A301808 A128817 A284897 * A037005 A022419 A070413

Adjacent sequences: A209550 A209551 A209552 * A209554 A209555 A209556

Keyword

nonn,tabl

Author

R. H. Hardin Mar 10 2012

Status

approved