A237318 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

348, 2108, 12756, 79360, 485484, 2938226, 17798196, 110739192, 677413956, 4099776412, 24834317148, 154517525352, 945214707012, 5720532944090, 34652019174732, 215602636699512, 1318884589408620, 7982020049512648

Offset

1,1

Comments

Column 2 of A237324

Links

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

Formula

Empirical: a(n) = 1400*a(n-4) -6519*a(n-8) +126*a(n-12) for n>14

Example

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

Crossrefs

Sequence in context: A129642 A304837 A231089 * A237724 A054467 A230705

Adjacent sequences: A237315 A237316 A237317 * A237319 A237320 A237321

Keyword

nonn

Author

R. H. Hardin, Feb 06 2014

Status

approved