A253856 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal minimum nondecreasing horizontally and vertically

512, 3264, 19456, 114880, 660480, 3727552, 20872192, 116568256, 649733120, 3617345728, 20128173056, 111975383232, 622846260224, 3464240431296, 19267225623552, 107157701398720, 595968823411712, 3314528026816704

Offset

1,1

Comments

Column 1 of A253863

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 8*a(n-1) -13*a(n-2) -8*a(n-3) +77*a(n-4) -392*a(n-5) +721*a(n-6) -504*a(n-7) +176*a(n-8) +384*a(n-9) -960*a(n-10) +512*a(n-11)

Example

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

Crossrefs

Sequence in context: A254161 A254491 A253863 * A253871 A253544 A253537

Adjacent sequences: A253853 A253854 A253855 * A253857 A253858 A253859

Keyword

nonn

Author

R. H. Hardin, Jan 17 2015

Status

approved