A238040 Number of (n+1)X(2+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

340, 1944, 10812, 61668, 352180, 1999804, 11359816, 64650988, 367695852, 2090439976, 11887700660, 67607537176, 384454848916, 2186228909392, 12432532688900, 70700318548692, 402048993757740, 2286326651710856

Offset

1,1

Comments

Column 2 of A238046

Links

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

Formula

Empirical: a(n) = 7*a(n-2) +64*a(n-3) +307*a(n-4) +593*a(n-5) +1251*a(n-6) +1168*a(n-7) -388*a(n-8) -1956*a(n-9) -4912*a(n-10) -2576*a(n-11) +1664*a(n-12) +768*a(n-13)

Example

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

Crossrefs

Sequence in context: A076748 A306865 A205223 * A237959 A232514 A187383

Adjacent sequences: A238037 A238038 A238039 * A238041 A238042 A238043

Keyword

nonn

Author

R. H. Hardin, Feb 17 2014

Status

approved