A236029 Number of (n+1) X (2+1) 0..2 arrays colored with the difference of the upper median and the lower median in each 2 X 2 subblock.

384, 2460, 14980, 93640, 595416, 3752292, 23516900, 147865936, 931263424, 5858644440, 36838522624, 231725728652, 1457843396204, 9170451870528, 57683495403720, 362853862347176, 2282534552870060, 14358082778611832

Offset

1,1

Comments

Column 2 of A236035.

Links

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

Formula

Empirical: a(n) = 8*a(n-2) +82*a(n-3) +490*a(n-4) +1217*a(n-5) +2163*a(n-6) +914*a(n-7) -9130*a(n-8) -22593*a(n-9) -22916*a(n-10) +10688*a(n-11) +64870*a(n-12) +38436*a(n-13) -42508*a(n-14) -30622*a(n-15) +4270*a(n-16) +9712*a(n-17) +528*a(n-18) -1536*a(n-19).

Example

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

Crossrefs

Cf. A236035.

Sequence in context: A233886 A256735 A256728 * A252904 A252899 A183686

Adjacent sequences: A236026 A236027 A236028 * A236030 A236031 A236032

Keyword

nonn

Author

R. H. Hardin, Jan 18 2014

Status

approved