A253407 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum plus antidiagonal minimum unequal to its neighbors horizontally, vertically and ne+sw antidiagonally

81, 480, 480, 2890, 2192, 2890, 17560, 8168, 8168, 17560, 106540, 37828, 27362, 37828, 106540, 646240, 158472, 108950, 108950, 158472, 646240, 3920448, 638602, 367348, 403698, 367348, 638602, 3920448, 23781448, 2763096, 1489310, 1739014

Offset

1,1

Comments

Table starts

........81.......480......2890......17560......106540.......646240......3920448

.......480......2192......8168......37828......158472.......638602......2763096

......2890......8168.....27362.....108950......367348......1489310......5662124

.....17560.....37828....108950.....403698.....1739014......7437150.....27085902

....106540....158472....367348....1739014.....7257328.....30756372....139685535

....646240....638602...1489310....7437150....30756372....196170260....954233428

...3920448...2763096...5662124...27085902...139685535....954233428...4643086490

..23781448..11635116..19137326..115826070...611083732...4184013494..27322067530

.144267352..48192624..76649188..489226254..2505801666..23948788480.163912344968

.875147104.204426054.290244550.1807771102.11760240950.123736222078.848291663906

Links

R. H. Hardin, Table of n, a(n) for n = 1..480

Formula

Empirical for column k:

k=1: [linear recurrence of order 10] for n>11

k=2: [order 40] for n>42

k=3: [order 56] for n>63

k=4: [order 60] for n>69

Example

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

Crossrefs

Sequence in context: A236775 A205293 A205286 * A253400 A250620 A237082

Adjacent sequences: A253404 A253405 A253406 * A253408 A253409 A253410

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 31 2014

Status

approved