A205286 Number of (n+1)X2 0..2 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents

81, 476, 2766, 15728, 89630, 511044, 2913944, 16611380, 94699360, 539880924, 3077859284, 17546758636, 100033478620, 570287962208, 3251195031144, 18534964466228, 105667273378104, 602405957212488, 3434298293663288

Offset

1,1

Comments

Column 1 of A205293

Links

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

Formula

Empirical: a(n) = 9*a(n-2) +54*a(n-3) +283*a(n-4) +688*a(n-5) +1396*a(n-6) +2004*a(n-7) -212*a(n-8) -4692*a(n-9) -13221*a(n-10) -22814*a(n-11) -14278*a(n-12) +4640*a(n-13) +31376*a(n-14) +58752*a(n-15) +41064*a(n-16) +7728*a(n-17) for n>19

Example

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

Crossrefs

Sequence in context: A236635 A236775 A205293 * A253407 A253400 A250620

Adjacent sequences: A205283 A205284 A205285 * A205287 A205288 A205289

Keyword

nonn

Author

R. H. Hardin Jan 25 2012

Status

approved