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A250063 Number of length 5+6 0..n arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms. 1
21, 7054, 348066, 6415638, 65419155, 449532868, 2330996068, 9790907652, 34925259201, 109359675810, 307898807590, 793597679082, 1898570817663, 4261710821064, 9053571280840, 18330419662312, 35574363778221 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A250059.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..41

FORMULA

Empirical: a(n) = n^11 + (107/420)*n^10 + (9701/1512)*n^9 + (117/28)*n^8 - (919/252)*n^7 + (2677/180)*n^6 - (109/72)*n^5 - (421/63)*n^4 + (6647/756)*n^3 - (535/252)*n^2 - (23/42)*n.

Conjectures from Colin Barker, Aug 22 2017: (Start)

G.f.: x*(21 + 6802*x + 264804*x^2 + 2699790*x^3 + 9862370*x^4 + 14835694*x^5 + 9550828*x^6 + 2483826*x^7 + 209945*x^8 + 2720*x^9) / (1 - x)^12.

a(n) = 12*a(n-1) - 66*a(n-2) + 220*a(n-3) - 495*a(n-4) + 792*a(n-5) - 924*a(n-6) + 792*a(n-7) - 495*a(n-8) + 220*a(n-9) - 66*a(n-10) + 12*a(n-11) - a(n-12) for n>12.

(End)

EXAMPLE

Some solutions for n=2:

..0....2....0....2....0....2....2....2....1....1....2....0....0....1....0....1

..2....1....1....2....1....1....2....2....0....1....2....2....2....1....2....2

..2....0....1....2....1....2....1....2....2....0....2....2....1....1....1....2

..2....2....2....2....2....1....2....1....2....2....2....2....2....0....2....1

..1....2....2....0....0....0....0....2....2....0....0....2....1....2....0....0

..0....2....0....2....1....2....0....0....0....1....2....2....0....2....2....2

..2....0....2....1....2....0....2....2....1....2....1....0....2....0....2....0

..2....2....0....0....0....1....2....0....2....2....0....1....0....2....0....1

..2....1....1....2....2....1....1....2....0....2....2....2....2....1....2....1

..0....0....2....2....1....2....1....2....2....0....1....0....2....1....1....2

..1....1....1....1....2....1....1....2....2....2....2....1....2....0....2....2

CROSSREFS

Sequence in context: A028451 A178327 A231906 * A307931 A270873 A263278

Adjacent sequences:  A250060 A250061 A250062 * A250064 A250065 A250066

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 11 2014

STATUS

approved

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Last modified December 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)