login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A205190 Number of (n+1) X 6 0..1 arrays with the number of clockwise edge increases in every 2 X 2 subblock differing from each horizontal or vertical neighbor. 1
144, 168, 292, 384, 736, 896, 1568, 1920, 3392, 4224, 7520, 9344, 16608, 20608, 36608, 45440, 80736, 100224, 178080, 221056, 392768, 487552, 866272, 1075328, 1910624, 2371712, 4214016, 5230976, 9294304, 11537280, 20499232, 25446272, 45212480 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A205193.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-2) +a(n-6) for n>9.

Empirical g.f.: 4*x*(36 + 42*x + x^2 + 12*x^3 + 38*x^4 + 32*x^5 - 12*x^6 - 10*x^7 - 9*x^8) / (1 - 2*x^2 - x^6). - Colin Barker, Jun 11 2018

EXAMPLE

Some solutions for n=4:

..0..0..1..1..0..0....0..0..1..1..1..0....0..0..1..0..0..0....0..1..1..0..0..1

..0..0..1..1..0..0....1..1..0..1..1..1....0..1..0..0..0..1....0..1..1..0..0..0

..1..1..0..0..1..1....1..1..1..0..1..1....1..0..0..0..1..0....1..0..0..1..0..0

..1..1..0..0..1..1....0..1..1..1..0..0....0..0..0..1..0..0....1..0..0..0..1..0

..1..0..1..1..0..1....1..0..1..1..0..0....0..0..1..0..0..0....0..1..0..0..0..1

CROSSREFS

Cf. A205193.

Sequence in context: A044868 A162532 A294575 * A085426 A034289 A062917

Adjacent sequences:  A205187 A205188 A205189 * A205191 A205192 A205193

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 23 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 17 18:14 EST 2020. Contains 330987 sequences. (Running on oeis4.)