A236604 Number of (n+1) X (1+1) 0..2 arrays colored with the maximum plus the lower median minus the minimum of every 2 X 2 subblock.

81, 426, 2269, 12004, 63945, 339684, 1806104, 9590924, 50981860, 270885808, 1439698020, 7649649584, 40652677572, 216021080080, 1147974683632, 6100208729024, 32416974402064, 172262578560928, 915411064116880

Offset

1,1

Comments

Column 1 of A236610.

Links

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

Formula

Empirical: a(n) = 28*a(n-3) +336*a(n-4) +744*a(n-5) +3360*a(n-6) +6176*a(n-7) +8308*a(n-8) +14576*a(n-9) -20528*a(n-10) -34304*a(n-11) -86784*a(n-12) -144128*a(n-13) +1536*a(n-14) +8192*a(n-15) +147456*a(n-16) +229376*a(n-17).

Example

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

Crossrefs

Cf. A236610.

Sequence in context: A206407 A236610 A236704 * A236698 A235421 A236282

Adjacent sequences: A236601 A236602 A236603 * A236605 A236606 A236607

Keyword

nonn

Author

R. H. Hardin, Jan 29 2014

Status

approved