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!)
A230782 Number of n X 2 0..3 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero. 1
0, 6, 86, 820, 8154, 82576, 833986, 8417644, 84971714, 857764344, 8658840234, 87407976260, 882353220314, 8907050256960, 89913587800402, 907646529844380, 9162377384021426, 92491026597941000, 933664882212237754 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
Empirical: a(n) = 10*a(n-1) - 3*a(n-2) + 44*a(n-3) - 40*a(n-4) + 8*a(n-5) - 192*a(n-6).
Empirical g.f.: 2*x^2*(3 + 13*x - 11*x^2 - 26*x^3 - 24*x^4) / (1 - 10*x + 3*x^2 - 44*x^3 + 40*x^4 - 8*x^5 + 192*x^6). - Colin Barker, Sep 22 2018
EXAMPLE
Some solutions for n=3:
..0..3....0..1....0..3....0..2....0..3....0..1....0..2....0..0....0..2....0..3
..0..1....2..1....2..1....1..3....3..1....1..2....3..1....3..1....3..1....3..1
..3..2....0..3....0..3....1..2....2..0....3..0....2..0....0..2....0..3....2..1
CROSSREFS
Column 2 of A230787.
Sequence in context: A332407 A358297 A209035 * A318042 A155654 A231165
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 30 2013
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 April 20 00:26 EDT 2024. Contains 371798 sequences. (Running on oeis4.)