A253123 - OEIS

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

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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