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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
14
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 31 2015
STATUS
approved