A237780 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1764, 12328, 86736, 610052, 4293744, 30217760, 212542304, 1495366768, 10525153280, 74070550592, 520994891136, 3665527224832, 25799896109056, 181566255460096, 1277095009756160, 8985167874906624, 63242311835283456

Offset

1,1

Comments

Column 1 of A237785

Links

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

Formula

Empirical: a(n) = 2584*a(n-4) -329840*a(n-8) +11009280*a(n-12) -157232128*a(n-16) +824834048*a(n-20) +1067106304*a(n-24) -9353953280*a(n-28) +10336862208*a(n-32) for n>35

Example

Some solutions for n=4
..2..1....2..2....0..2....3..0....3..3....0..0....2..3....3..1....2..0....3..2
..2..3....0..3....2..1....3..3....3..1....2..1....3..1....0..1....2..1....1..0
..2..0....2..3....2..1....1..3....2..3....2..1....3..3....1..2....1..0....2..0
..2..2....0..0....1..3....3..2....2..3....1..1....3..2....0..2....2..2....2..2
..1..0....3..1....2..2....2..1....0..0....2..2....3..2....1..1....2..2....3..0

Crossrefs

Sequence in context: A238054 A238049 A237785 * A237904 A237899 A238311

Adjacent sequences: A237777 A237778 A237779 * A237781 A237782 A237783

Keyword

nonn

Author

R. H. Hardin, Feb 13 2014

Status

approved