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A200786 Number of 0..n arrays x(0..3) of 4 elements without any two consecutive increases 1
16, 75, 225, 530, 1071, 1946, 3270, 5175, 7810, 11341, 15951, 21840, 29225, 38340, 49436, 62781, 78660, 97375, 119245, 144606, 173811, 207230, 245250, 288275, 336726, 391041, 451675, 519100, 593805, 676296, 767096, 866745, 975800, 1094835 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 2 of A200785

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..140

A. Burstein and T. Mansour, Words restricted by 3-letter generalized multipermutation patterns, Annals. Combin., 7 (2003), 1-14. See Th. 3.13.

FORMULA

Empirical: a(n) = (17/24)*n^4 + (43/12)*n^3 + (151/24)*n^2 + (53/12)*n + 1

EXAMPLE

Some solutions for n=3

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

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

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

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

CROSSREFS

Sequence in context: A126403 A197873 A232863 * A250353 A212690 A244835

Adjacent sequences:  A200783 A200784 A200785 * A200787 A200788 A200789

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 22 2011

STATUS

approved

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Last modified December 3 03:54 EST 2016. Contains 278698 sequences.