A249850 Number of length 6+4 0..n arrays with no five consecutive terms having the maximum of any two terms equal to the minimum of the remaining three terms.

10, 2163, 81816, 1234328, 10653298, 63374127, 289372688, 1084868616, 3492375066, 9959590531, 25736172264, 61283393808, 136218299906, 285494859439, 568743409824, 1083950013296, 1986962835498, 3518666938611, 6042075583672

Offset

1,1

Comments

Row 6 of A249844.

Links

R. H. Hardin, Table of n, a(n) for n = 1..152

Formula

Empirical: a(n) = n^10 - (19/35)*n^9 + (4327/840)*n^8 - (104/63)*n^7 + (52/15)*n^6 + (367/90)*n^5 - (491/120)*n^4 + (389/126)*n^3 - (221/420)*n^2 + (1/35)*n.

Conjectures from Colin Barker, Aug 18 2017: (Start)

G.f.: x*(10 + 2053*x + 58573*x^2 + 451667*x^3 + 1221975*x^4 + 1285419*x^5 + 529155*x^6 + 77117*x^7 + 2831*x^8) / (1 - x)^11.

a(n) = 11*a(n-1) - 55*a(n-2) + 165*a(n-3) - 330*a(n-4) + 462*a(n-5) - 462*a(n-6) + 330*a(n-7) - 165*a(n-8) + 55*a(n-9) - 11*a(n-10) + a(n-11) for n>11.

(End)

Example

Some solutions for n=3
..0....0....1....0....0....1....2....3....3....2....2....2....0....1....3....1
..0....2....3....2....2....3....3....0....2....2....3....0....0....3....1....2
..3....3....0....2....1....3....3....3....3....3....3....3....3....2....2....0
..3....0....3....1....3....0....0....3....1....1....0....3....1....0....0....0
..3....1....0....2....3....3....0....0....0....0....1....0....3....0....0....3
..0....3....3....0....3....1....3....2....0....0....3....2....2....2....1....2
..2....2....1....3....0....3....1....1....3....1....0....0....1....3....2....1
..1....3....2....2....2....0....2....3....3....3....2....3....2....2....2....0
..0....1....2....0....0....3....0....2....2....2....0....3....0....0....0....0
..2....1....0....1....1....3....0....0....1....2....1....3....0....0....0....1

Crossrefs

Sequence in context: A004821 A328360 A114776 * A334007 A155870 A369811

Adjacent sequences: A249847 A249848 A249849 * A249851 A249852 A249853

Keyword

nonn

Author

R. H. Hardin, Nov 07 2014

Status

approved