A237551 Number of (n+1)X(2+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

312, 1668, 8764, 44668, 224948, 1181206, 6170564, 31538382, 160690160, 838194016, 4355102280, 22315658240, 114413801424, 594413227190, 3078427346856, 15808430494646, 81314611678564, 421380982769344, 2178294253001920

Offset

1,1

Comments

Column 2 of A237557

Links

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

Formula

Empirical: a(n) = 26*a(n-3) +473*a(n-4) +382*a(n-5) +716*a(n-6) +1304*a(n-7) -5953*a(n-8) -1004*a(n-9) -1124*a(n-10) -466*a(n-11) +9039*a(n-12) +792*a(n-13) -3360*a(n-14)

Example

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

Crossrefs

Sequence in context: A011251 A043360 A339074 * A270608 A233939 A233934

Adjacent sequences: A237548 A237549 A237550 * A237552 A237553 A237554

Keyword

nonn

Author

R. H. Hardin, Feb 09 2014

Status

approved