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

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

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

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

Adjacent sequences: A250381 A250382 A250383 * A250385 A250386 A250387

Keyword

nonn

Author

R. H. Hardin, Nov 20 2014

Status

approved