A210413 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having three or four distinct values, and new values 0..3 introduced in row major order.

7, 78, 78, 864, 2520, 864, 9576, 80496, 80496, 9576, 106128, 2574592, 7380816, 2574592, 106128, 1176192, 82334080, 677993552, 677993552, 82334080, 1176192, 13035456, 2633043200, 62266883792, 178971208720, 62266883792, 2633043200

Offset

1,1

Comments

Table starts

.........7............78...............864..................9576

........78..........2520.............80496...............2574592

.......864.........80496...........7380816.............677993552

......9576.......2574592.........677993552..........178971208720

....106128......82334080.......62266883792........47230418649056

...1176192....2633043200.....5718722907600.....12464482425454304

..13035456...84204544256...525218223843536...3289463792785895520

.144468864.2692856218368.48237041019306960.868112796901730209328

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

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

Crossrefs

Sequence in context: A082782 A356437 A107047 * A045485 A068621 A210406

Adjacent sequences: A210410 A210411 A210412 * A210414 A210415 A210416

Keyword

nonn,tabl

Author

R. H. Hardin Mar 21 2012

Status

approved