A235952 Number of (n+1) X (6+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock.

20800, 9752, 3504, 5036, 6728, 10420, 14440, 23148, 33704, 52348, 72200, 116316, 168520, 261612, 361000, 581580, 842600, 1308060, 1805000, 2907900, 4213000, 6540300, 9025000, 14539500, 21065000, 32701500, 45125000, 72697500, 105325000

Offset

1,1

Links

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

Formula

Empirical: a(n) = 5*a(n-4) for n>14.

Empirical g.f.: 4*x*(5200 + 2438*x + 876*x^2 + 1259*x^3 - 24318*x^4 - 9585*x^5 - 770*x^6 - 508*x^7 + 16*x^8 + 62*x^9 + 144*x^11 - 32*x^13) / (1 - 5*x^4). - Colin Barker, Oct 20 2018

Example

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

Crossrefs

Column 6 of A235954.

Sequence in context: A048960 A252331 A104903 * A207794 A368426 A256840

Adjacent sequences: A235949 A235950 A235951 * A235953 A235954 A235955

Keyword

nonn

Author

R. H. Hardin, Jan 17 2014

Status

approved