login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A212828 Number of 0..7 arrays of length n with no adjacent pair equal to its immediately preceding adjacent pair, and new values introduced in 0..7 order 1
1, 2, 5, 13, 44, 168, 717, 3360, 17091, 93492, 545670, 3372738, 21911216, 148486735, 1041923520, 7518618028, 55460237723, 416078640459, 3161904730760, 24261222270154, 187499556005523, 1456815538485716, 11363752138036864 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 7 of A212829

LINKS

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

FORMULA

Empirical: a(n) = 22*a(n-1) -168*a(n-2) +440*a(n-3) +421*a(n-4) -2898*a(n-5) -924*a(n-6) +7944*a(n-7) +5931*a(n-8) -6610*a(n-9) -10562*a(n-10) -5040*a(n-11) -840*a(n-12) for n>15

EXAMPLE

Some solutions for n=8

..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

..1....0....1....1....1....1....1....1....1....1....1....1....1....0....0....1

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

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

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

..4....2....2....2....2....3....3....0....4....2....1....0....1....1....1....1

..3....3....4....1....1....3....4....0....1....1....0....1....4....1....3....2

..5....0....4....0....0....4....4....0....4....0....0....3....4....3....0....2

CROSSREFS

Sequence in context: A212825 A212826 A212827 * A212830 A000719 A149875

Adjacent sequences:  A212825 A212826 A212827 * A212829 A212830 A212831

KEYWORD

nonn

AUTHOR

R. H. Hardin May 28 2012

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 1 01:28 EDT 2022. Contains 357134 sequences. (Running on oeis4.)