A237723 Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 348, 1510, 6610, 28877, 125428, 545952, 2381432, 10387640, 45202024, 196926732, 858105896, 3741077036, 16288858480, 70985020400, 309213392896, 1347842152080, 5869702992128, 25582079644992, 111424176258848

Offset

1,1

Comments

Column 1 of A237730

Links

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

Formula

Empirical: a(n) = 272*a(n-4) +1668*a(n-6) +172*a(n-8) +16*a(n-10) for n>13

Example

Some solutions for n=5
..1..1....1..0....0..1....1..1....2..2....1..1....1..2....1..1....1..1....2..1
..1..0....2..2....0..1....0..2....2..1....1..1....0..1....1..1....1..1....2..2
..1..2....0..2....0..0....1..0....2..1....2..0....0..2....1..2....2..1....0..1
..2..1....2..1....2..0....0..1....0..1....0..1....0..0....0..2....2..1....1..0
..1..0....0..1....2..1....1..1....0..2....2..1....0..1....2..2....1..0....1..1
..1..1....2..0....1..0....2..1....0..0....2..0....1..2....1..1....1..1....2..0

Crossrefs

Sequence in context: A237324 A237730 A237317 * A237472 A237465 A236997

Adjacent sequences: A237720 A237721 A237722 * A237724 A237725 A237726

Keyword

nonn

Author

R. H. Hardin, Feb 12 2014

Status

approved