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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A206078 Number of (n+1) X 2 0..3 arrays with the number of clockwise edge increases in every 2 X 2 subblock equal to one. 1
124, 960, 7308, 55864, 426596, 3258496, 24887884, 190093096, 1451920276, 11089697360, 84702551132, 646953877560, 4941401481188, 37742178485600, 288272879761068, 2201813900709576, 16817344930171316, 128450043128179312 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A206085.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +13*a(n-2) -4*a(n-3) +2*a(n-4).

Empirical g.f.: 4*x*(31 + 54*x - 16*x^2 + 8*x^3) / (1 - 6*x - 13*x^2 + 4*x^3 - 2*x^4). - Colin Barker, Jun 13 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A206085.

Sequence in context: A038645 A038859 A206085 * A206197 A206190 A251381

Adjacent sequences: A206075 A206076 A206077 * A206079 A206080 A206081

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 03 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 December 7 23:32 EST 2022. Contains 358671 sequences. (Running on oeis4.)