A237958 Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 340, 1422, 6042, 25777, 109200, 462852, 1962464, 8337456, 35340888, 150013756, 635934272, 2700293296, 11446693312, 48598395488, 206013123488, 874700630800, 3707927149312, 15742965653824, 66735768122368, 283346471210496

Offset

1,1

Comments

Column 1 of A237965

Links

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

Formula

Empirical: a(n) = 216*a(n-4) +1692*a(n-6) +4288*a(n-8) +3968*a(n-10) +1024*a(n-12)

Example

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

Crossrefs

Sequence in context: A236895 A237965 A238046 * A238039 A232284 A337044

Adjacent sequences: A237955 A237956 A237957 * A237959 A237960 A237961

Keyword

nonn

Author

R. H. Hardin, Feb 16 2014

Status

approved