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A250384
Number of length n+3 0..5 arrays with no four consecutive terms having the maximum of any two terms equal to the minimum of the remaining two terms
1
930, 4350, 20518, 96866, 457366, 2160160, 10203222, 48194820, 227649458, 1075313612, 5079307270, 23992431544, 113329814408, 535320858558, 2528623566912, 11944121511580, 56418852770150, 266498206863362
OFFSET
1,1
COMMENTS
Column 5 of A250387
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +12*a(n-2) -21*a(n-3) +25*a(n-4) +94*a(n-5) -726*a(n-6) -339*a(n-7) +2375*a(n-8) -2846*a(n-9) +190*a(n-10) +25019*a(n-11) -17838*a(n-12) -46645*a(n-13) +88607*a(n-14) -34142*a(n-15) -224595*a(n-16) +218924*a(n-17) +61757*a(n-18) -373679*a(n-19) +450866*a(n-20) +158422*a(n-21) -496612*a(n-22) +389802*a(n-23) +115004*a(n-24) -452984*a(n-25) +44872*a(n-26) +80952*a(n-27) -28224*a(n-28) +53184*a(n-29) +4608*a(n-30) -13824*a(n-31)
EXAMPLE
Some solutions for n=4
..2....3....0....3....3....0....0....1....4....4....3....4....4....5....2....2
..2....5....4....2....1....3....4....2....2....1....3....2....3....1....3....3
..5....0....2....4....4....1....4....5....0....5....4....1....1....2....4....5
..4....2....5....0....2....2....0....0....4....3....5....0....2....0....2....5
..1....1....0....1....0....3....1....0....4....1....1....4....5....3....2....1
..5....2....3....0....4....0....5....4....0....1....5....0....0....0....4....1
..0....1....5....1....3....4....5....5....2....3....4....2....0....5....5....5
CROSSREFS
Sequence in context: A175726 A115958 A158679 * A209810 A035856 A093231
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 20 2014
STATUS
approved