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A200790 Number of 0..n arrays x(0..7) of 8 elements without any two consecutive increases. 1
256, 5157, 43681, 232275, 919413, 2964416, 8216484, 20273247, 45611500, 95196145, 186686721, 347374261, 617994573, 1057577400, 1749504272, 2808961221, 4391985888, 6706321909, 10024306825, 14698033119, 21177035341, 30028769640 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 of A200785.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..136

FORMULA

Empirical: a(n) = (6679/20160)*n^8 + (4799/1260)*n^7 + (26449/1440)*n^6 + (2162/45)*n^5 + (212153/2880)*n^4 + (6019/90)*n^3 + (174571/5040)*n^2 + (3893/420)*n + 1.

Conjectures from Colin Barker, Oct 15 2017: (Start)

G.f.: x*(256 + 2853*x + 6484*x^2 + 3294*x^3 + 522*x^4 - 79*x^5 + 36*x^6 - 9*x^7 + x^8) / (1 - x)^9.

a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9) for n>9.

(End)

EXAMPLE

Some solutions for n=3

..3....1....2....2....0....2....1....2....2....3....0....0....0....3....3....1

..0....1....0....2....2....3....3....2....1....3....0....1....1....0....0....3

..0....3....3....1....0....1....3....1....2....0....3....0....1....0....3....1

..1....3....2....2....3....3....2....2....0....2....0....0....1....3....3....2

..0....1....3....2....1....3....3....1....0....1....2....3....3....1....0....0

..3....0....2....2....3....0....3....3....3....3....1....2....0....2....0....3

..0....1....1....2....0....0....2....0....1....0....3....1....2....1....3....1

..3....0....3....3....3....1....3....0....0....3....1....0....2....3....1....0

CROSSREFS

Sequence in context: A074151 A016804 A115111 * A206110 A196152 A113173

Adjacent sequences:  A200787 A200788 A200789 * A200791 A200792 A200793

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 22 2011

STATUS

approved

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Last modified August 23 11:24 EDT 2019. Contains 326222 sequences. (Running on oeis4.)