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!)
A210397 Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having one or three distinct values, and new values 0..3 introduced in row major order. 1
7, 59, 549, 5167, 48689, 458859, 4324477, 40755719, 384099369, 3619917187, 34115652149, 321520538079, 3030147451297, 28557409213979, 269137272730989, 2536465091434807, 23904734913837209, 225288474590274099 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A210404.
LINKS
FORMULA
Empirical: a(n) = 10*a(n-1) - 5*a(n-2) - 4*a(n-3).
Empirical g.f.: x*(1 - 2*x)*(7 + 3*x) / ((1 - x)*(1 - 9*x - 4*x^2)). - Colin Barker, Jul 15 2018
EXAMPLE
Some solutions for n=4:
..0..0....0..0....0..0....0..0....0..1....0..1....0..0....0..0....0..1....0..0
..0..0....0..0....0..0....1..2....0..2....2..2....0..0....0..0....0..2....0..0
..0..0....0..0....0..0....0..1....0..1....1..0....0..0....0..0....3..3....1..2
..1..2....0..0....1..2....1..3....1..2....0..3....1..2....0..0....3..3....2..0
..1..0....1..2....2..0....3..0....2..3....0..1....3..3....0..0....1..2....2..3
CROSSREFS
Cf. A210404.
Sequence in context: A322667 A363105 A101487 * A099659 A358599 A135150
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 21 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 March 28 15:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)