A186923 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2X2 subblock traces

0, 704, 704, 2176, 13440, 2176, 30976, 253312, 253312, 30976, 166272, 4615296, 7946432, 4615296, 166272, 1567936, 86388160, 394724320, 394724320, 86388160, 1567936, 10419200, 1613838400, 15491352288, 39825200832, 15491352288

Offset

1,2

Comments

Table starts

..........0............704.............2176.............30976

........704..........13440...........253312...........4615296

.......2176.........253312..........7946432.........394724320

......30976........4615296........394724320.......39825200832

.....166272.......86388160......15491352288.....3861027028096

....1567936.....1613838400.....686342587904...380882328583712

...10419200....30161413056...28533024476512.37393297725524928

...85438016...563483938112.1225810619871552

..615338112.10530498631296

.4793908736

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for 4X3
..0..1..0....2..2..0....2..2..1....2..0..1....2..2..0....0..2..2....0..1..3
..3..2..1....1..3..3....0..3..3....2..1..3....3..1..1....2..3..1....2..2..1
..1..2..3....3..3..2....2..3..2....3..0..1....0..0..2....3..2..1....3..1..2
..3..2..1....0..1..2....2..1..0....3..0..3....0..0..0....1..0..1....1..0..3

Crossrefs

Column 1 is A185799

Sequence in context: A253396 A188370 A185571 * A185807 A105846 A323342

Adjacent sequences: A186920 A186921 A186922 * A186924 A186925 A186926

Keyword

nonn,tabl

Author

R. H. Hardin Feb 28 2011

Status

approved