A250820 Number of (n+2) X (1+2) 0..1 arrays with nondecreasing maximum minus minimum of every three consecutive values in every row and column.

512, 2744, 13824, 64000, 287496, 1259712, 5451776, 23393656, 99897344, 425259008, 1806932232, 7668682048, 32522853888, 137867914296, 584277056000, 2475715773952, 10489077269000, 44437096088000, 188250740195328

Offset

1,1

Comments

Column 1 of A250826.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -8*a(n-2) -27*a(n-3) +45*a(n-4) +24*a(n-5) -51*a(n-6) -3*a(n-7) +16*a(n-8) -a(n-9) -a(n-10).

Example

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

Crossrefs

Cf. A250826.

Sequence in context: A253986 A250826 A250504 * A250497 A254260 A254306

Adjacent sequences: A250817 A250818 A250819 * A250821 A250822 A250823

Keyword

nonn

Author

R. H. Hardin, Nov 27 2014

Status

approved