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!)
A184209 Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock sum greater than 6. 1
106, 1036, 9247, 85600, 782637, 7189899, 65937529, 605100146, 5551579376, 50938410285, 467368565920, 4288240391723, 39345646886265, 361006503721815, 3312326008509618, 30391436683307908, 278849163985769031 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A184217.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 6*a(n-1) + 35*a(n-2) - 37*a(n-3) - 160*a(n-4) + 36*a(n-5) + 144*a(n-6).

Empirical g.f.: x*(106 + 400*x - 679*x^2 - 2220*x^3 + 684*x^4 + 2160*x^5) / (1 - 6*x - 35*x^2 + 37*x^3 + 160*x^4 - 36*x^5 - 144*x^6). - Colin Barker, Apr 12 2018

EXAMPLE

Some solutions for 3 X 2:

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

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

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

CROSSREFS

Cf. A184217.

Sequence in context: A051974 A188837 A184217 * A233047 A206755 A200969

Adjacent sequences:  A184206 A184207 A184208 * A184210 A184211 A184212

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 10 2011

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 September 30 17:27 EDT 2022. Contains 357106 sequences. (Running on oeis4.)