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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified August 13 22:39 EDT 2022. Contains 356109 sequences. (Running on oeis4.)