login
This site is supported by donations to The OEIS Foundation.

 

Logo

Many excellent designs for a new banner were submitted. We will use the best of them in rotation.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A200840 Number of 0..n arrays x(0..4) of 5 elements without any two consecutive increases or two consecutive decreases 1
32, 191, 676, 1817, 4108, 8239, 15128, 25953, 42184, 65615, 98396, 143065, 202580, 280351, 380272, 506753, 664752, 859807, 1098068, 1386329, 1732060, 2143439, 2629384, 3199585, 3864536, 4635567, 5524876, 6545561, 7711652, 9038143 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 3 of A200838

LINKS

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

FORMULA

Empirical: a(n) = (4/15)*n^5 + (17/6)*n^4 + (28/3)*n^3 + (73/6)*n^2 + (32/5)*n + 1

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A165002 A165010 A233387 * A208925 A212863 A019560

Adjacent sequences:  A200837 A200838 A200839 * A200841 A200842 A200843

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 23 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified April 21 02:07 EDT 2014. Contains 240824 sequences.