A254491 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 3264, 3264, 19456, 29952, 19456, 114880, 278848, 281024, 114880, 660480, 2523008, 3912576, 2520832, 660480, 3727552, 21822912, 51322752, 50028672, 21641920, 3727552, 20872192, 186999040, 656964096, 1018596736, 640020096

Offset

1,1

Comments

Table starts

.....512......3264......19456.......114880.........660480.........3727552

....3264.....29952.....278848......2523008.......21822912.......186999040

...19456....281024....3912576.....51322752......656964096......8552031360

..114880...2520832...50028672...1018596736....20365586688....410218207872

..660480..21641920..640020096..20457240960...615887502592..18812857512320

.3727552.186176000.8348864128.410404894080.18731454463744.871411470160000

Links

R. H. Hardin, Table of n, a(n) for n = 1..284

Formula

Empirical for column k:

k=1: [linear recurrence of order 11]

k=2: [order 27]

k=3: [order 66]

Empirical for row n:

n=1: [same linear recurrence of order 11]

n=2: [order 29]

n=3: [order 70]

Example

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

Crossrefs

Column 1 and row 1 are A253856

Sequence in context: A254168 A254457 A254161 * A253863 A253856 A253871

Adjacent sequences: A254488 A254489 A254490 * A254492 A254493 A254494

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 31 2015

Status

approved