A237539 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1888, 14208, 106496, 798208, 5985280, 44879872, 336408576, 2521595904, 18907365376, 141774028800, 1062710738944, 7965687414784, 59728115007488, 447862357884928, 3357089663549440, 25163504533110784, 188680351567052800

Offset

1,1

Comments

Column 1 of A237544

Links

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

Formula

Empirical: a(n) = 3120*a(n-4) +121600*a(n-8) +4931584*a(n-12) -10485760*a(n-16) for n>17

Example

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

Crossrefs

Sequence in context: A237569 A237544 A206752 * A206745 A237791 A237786

Adjacent sequences: A237536 A237537 A237538 * A237540 A237541 A237542

Keyword

nonn

Author

R. H. Hardin, Feb 09 2014

Status

approved