A251283 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element

230, 3264, 3264, 46244, 164800, 46244, 655040, 8320896, 8320896, 655040, 9278296, 420152704, 1497752279, 420152704, 9278296, 131421696, 21215177472, 269564757184, 269564757184, 21215177472, 131421696, 1861511440

Offset

1,1

Comments

Table starts

.....230........3264..........46244.............655040...............9278296

....3264......164800........8320896..........420152704...........21215177472

...46244.....8320896.....1497752279.......269564757184........48514315795424

..655040...420152704...269564757184....172919373209920....110920574724652544

.9278296.21215177472.48514315795424.110920574724652544.253597772369472323328

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 16*a(n-1) -26*a(n-2)

k=2: a(n) = 54*a(n-1) -182*a(n-2) +228*a(n-3) +1152*a(n-4)

k=3: [order 9]

k=4: [order 23]

Example

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

Crossrefs

Sequence in context: A211711 A211716 A251445 * A251276 A194490 A232379

Adjacent sequences: A251280 A251281 A251282 * A251284 A251285 A251286

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2014

Status

approved