A236775 Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock

81, 474, 2797, 16360, 95961, 562284, 3296708, 19317952, 113216324, 663531280, 3889040836, 22792434328, 133579200184, 782877551360, 4588334140336, 26891207676512, 157602635364752, 923673599517440, 5413465738496512

Offset

1,1

Comments

Column 1 of A236780

Links

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

Formula

Empirical: a(n) = 40*a(n-3) +528*a(n-4) +1464*a(n-5) +4428*a(n-6) +8904*a(n-7) -696*a(n-8) -16096*a(n-9) -77216*a(n-10) -159008*a(n-11) -61184*a(n-12) -18816*a(n-13) +190976*a(n-14) +365056*a(n-15) +172032*a(n-16) +73728*a(n-17)

Example

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

Crossrefs

Sequence in context: A236780 A237678 A236635 * A205293 A205286 A253407

Adjacent sequences: A236772 A236773 A236774 * A236776 A236777 A236778

Keyword

nonn

Author

R. H. Hardin, Jan 31 2014

Status

approved