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A250134
Number of length n+2 0..2 arrays with the medians of every three consecutive terms nondecreasing
1
27, 67, 162, 391, 900, 2026, 4530, 9975, 21694, 46871, 100571, 214396, 454934, 961550, 2025038, 4252314, 8907731, 18620476, 38854077, 80952643, 168448929, 350130660, 727093383, 1508720630, 3128504906, 6483632727, 13430463741
OFFSET
1,1
COMMENTS
Column 2 of A250140
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) -3*a(n-2) +9*a(n-3) -15*a(n-4) +7*a(n-5) -22*a(n-6) +18*a(n-7) +a(n-8) +23*a(n-9) +4*a(n-10) -4*a(n-12) -4*a(n-13)
EXAMPLE
Some solutions for n=6
..0....2....0....1....2....1....0....0....1....0....0....2....1....2....0....1
..0....0....0....2....1....0....2....1....0....2....2....2....0....1....0....0
..1....1....0....1....1....0....2....2....0....2....1....1....1....1....0....0
..2....2....0....1....2....1....0....1....0....2....0....2....1....1....1....0
..0....1....1....1....2....0....2....0....0....2....1....2....1....0....0....0
..2....0....1....2....1....0....2....2....0....2....2....2....2....1....2....1
..2....2....2....2....2....2....0....1....1....2....2....2....0....1....1....0
..1....2....1....0....2....0....2....2....1....1....1....2....2....2....1....2
CROSSREFS
Sequence in context: A361147 A099865 A065008 * A116353 A224525 A219130
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 13 2014
STATUS
approved