A205361 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..2 introduced in row major order

14, 50, 50, 194, 275, 194, 770, 1562, 1562, 770, 3074, 8948, 12866, 8948, 3074, 12290, 51458, 107330, 107330, 51458, 12290, 49154, 296774, 904514, 1329947, 904514, 296774, 49154, 196610, 1716002, 7690946, 16820450, 16820450, 7690946, 1716002

Offset

1,1

Comments

Table starts

.....14......50.......194.........770..........3074...........12290

.....50.....275......1562........8948.........51458..........296774

....194....1562.....12866......107330........904514.........7690946

....770....8948....107330.....1329947......16820450.......216561893

...3074...51458....904514....16820450.....323378690......6379775618

..12290..296774...7690946...216561893....6379775618....194089073306

..49154.1716002..65916482..2826905666..128108142146...6018114334610

.196610.9946442.568956866.37314167621.2604800794754.188843661927722

Links

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

Example

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

Crossrefs

Sequence in context: A215569 A246973 A156192 * A205626 A043378 A044116

Adjacent sequences: A205358 A205359 A205360 * A205362 A205363 A205364

Keyword

nonn,tabl

Author

R. H. Hardin Jan 26 2012

Status

approved