A253123 Number of length n+2 0..2 arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero

7, 53, 90, 393, 952, 3323, 9205, 29445, 85717, 264455, 784350, 2382673, 7116997, 21472661, 64312410, 193442021, 579975177, 1742036675, 5224994385, 15683870729, 47048349217, 141182669949, 423540081615, 1270780266933, 3812331343012

Offset

1,1

Comments

Column 2 of A253129

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -7*a(n-2) -17*a(n-3) +45*a(n-4) -57*a(n-5) +64*a(n-6) +44*a(n-7) -186*a(n-8) +205*a(n-9) -290*a(n-10) +290*a(n-11) -196*a(n-12) +161*a(n-13) -77*a(n-14) +28*a(n-15) -12*a(n-16)

Example

Some solutions for n=9
..2....0....2....1....0....0....1....1....0....1....0....2....0....2....1....2
..2....0....0....2....0....1....2....0....2....0....2....2....1....1....0....0
..2....2....2....1....1....2....0....2....2....1....0....1....1....1....1....0
..2....1....2....0....1....2....0....1....2....1....2....0....2....2....0....1
..0....0....1....1....0....1....1....0....0....0....2....0....1....1....2....0
..0....1....0....2....0....1....0....1....2....1....0....0....0....2....1....2
..1....1....1....0....2....1....2....0....2....2....0....0....2....2....1....0
..2....1....1....2....1....1....2....0....0....0....0....2....0....1....0....1
..2....2....1....1....2....0....2....2....0....2....1....1....1....2....0....1
..1....2....1....0....1....2....0....0....0....1....1....1....1....0....1....0
..0....0....1....1....2....2....0....2....1....1....2....1....0....2....2....0

Crossrefs

Sequence in context: A241487 A236688 A239941 * A352459 A141911 A200766

Adjacent sequences: A253120 A253121 A253122 * A253124 A253125 A253126

Keyword

nonn

Author

R. H. Hardin, Dec 27 2014

Status

approved