A238049 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1760, 12352, 87488, 618752, 4375552, 30949952, 218919168, 1548259072, 10950274048, 77458464768, 547885305856, 3874795835392, 27405049921536, 193853940023296, 1371182905425920, 9697383186169856, 68586135474405376

Offset

1,1

Comments

Column 1 of A238054

Links

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

Formula

Empirical: a(n) = 2528*a(n-4) -63488*a(n-8) +315392*a(n-12) +147456*a(n-16) +4194304*a(n-20) for n>21

Example

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

Crossrefs

Sequence in context: A237494 A237489 A238054 * A237785 A237780 A237904

Adjacent sequences: A238046 A238047 A238048 * A238050 A238051 A238052

Keyword

nonn

Author

R. H. Hardin, Feb 17 2014

Status

approved