A237466 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

356, 2308, 14968, 99086, 651906, 4259914, 27861088, 183385520, 1204325662, 7888272520, 51703064498, 339590886580, 2228614232926, 14611384819402, 95829344877344, 628938894654416, 4126515883377788, 27064861657856340

Offset

1,1

Comments

Column 2 of A237472

Links

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

Formula

Empirical: a(n) = 70*a(n-3) +1053*a(n-4) +1879*a(n-5) +5530*a(n-6) -1147*a(n-7) -108738*a(n-8) -155485*a(n-9) +35869*a(n-10) +101903*a(n-11) +100682*a(n-12) -23634*a(n-13) -19682*a(n-14)

Example

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

Crossrefs

Sequence in context: A221450 A232298 A108375 * A233686 A231078 A232851

Adjacent sequences: A237463 A237464 A237465 * A237467 A237468 A237469

Keyword

nonn

Author

R. H. Hardin, Feb 08 2014

Status

approved