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!)
A214239 Number of 0..7 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order. 2
1, 1, 4, 11, 41, 162, 715, 3424, 17686, 97493, 567986, 3462537, 21880951, 142148644, 942800317, 6349172750, 43233294236, 296737912815, 2048310985708, 14196341292463, 98674810415941, 687263739609206, 4793697038780159 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row 1 of A214238.

LINKS

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

FORMULA

Empirical: a(n) = 21*a(n-1) - 168*a(n-2) + 630*a(n-3) - 1029*a(n-4) + 189*a(n-5) + 1198*a(n-6) - 840*a(n-7).

Empirical g.f.: x*(1 - 20*x + 151*x^2 - 535*x^3 + 881*x^4 - 531*x^5) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 7*x)).- Colin Barker, Mar 09 2018

EXAMPLE

Some solutions for n=4:

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

CROSSREFS

Cf. A214238.

Sequence in context: A214167 A278988 A214188 * A278989 A000296 A032265

Adjacent sequences:  A214236 A214237 A214238 * A214240 A214241 A214242

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 08 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 July 1 04:13 EDT 2022. Contains 354951 sequences. (Running on oeis4.)