A237317 Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

81, 348, 1508, 6608, 28772, 123888, 536848, 2352448, 10242832, 44104128, 191117888, 837471488, 3646448192, 15701069568, 68037968128, 298139849728, 1298135556352, 5589580766208, 24221516653568, 106137786503168

Offset

1,1

Links

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

Formula

Empirical: a(n) = 356*a(n-4) for n>5.

Empirical g.f.: x*(81 + 348*x + 1508*x^2 + 6608*x^3 - 64*x^4) / (1 - 356*x^4). - Colin Barker, Oct 22 2018

Example

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

Crossrefs

Column 1 of A237324.

Sequence in context: A236730 A237324 A237730 * A237723 A237472 A237465

Adjacent sequences: A237314 A237315 A237316 * A237318 A237319 A237320

Keyword

nonn

Author

R. H. Hardin, Feb 06 2014

Status

approved