A237843 Number of (n+1)X(1+1) 0..2 arrays with the maximum minus the lower median of every 2X2 subblock equal

81, 369, 1697, 8451, 43061, 224559, 1184701, 6305583, 33742677, 181259783, 976153437, 5266243663, 28444748005, 153767162615, 831710048621, 4500403551647, 24358405180597, 131864496867975, 713942568166077

Offset

1,1

Comments

Column 1 of A237850

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -10*a(n-2) -162*a(n-3) +377*a(n-4) +892*a(n-5) -2886*a(n-6) -1748*a(n-7) +9208*a(n-8) -336*a(n-9) -12832*a(n-10) +4416*a(n-11) +6144*a(n-12) -3072*a(n-13)

Example

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

Crossrefs

Sequence in context: A237850 A205917 A205909 * A205737 A236035 A236028

Adjacent sequences: A237840 A237841 A237842 * A237844 A237845 A237846

Keyword

nonn

Author

R. H. Hardin, Feb 14 2014

Status

approved