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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A202414 Number of (n+2) X 3 binary arrays with no more than one of any consecutive three bits set in any row or column. 1
34, 94, 265, 739, 2059, 5746, 16033, 44728, 124786, 348145, 971293, 2709817, 7560148, 21092137, 58845166, 164172730, 458027185, 1277854735, 3565100011, 9946309042, 27749309485, 77418082780, 215989502182, 602591324641 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A202421.

LINKS

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

FORMULA

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

Empirical g.f.: x*(34 + 26*x + 43*x^2 + 13*x^3) / (1 - 2*x - x^2 - 3*x^3 - x^4). - Colin Barker, May 28 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

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

CROSSREFS

Cf. A202421.

Sequence in context: A185460 A260467 A202421 * A160062 A247218 A233031

Adjacent sequences:  A202411 A202412 A202413 * A202415 A202416 A202417

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 17 15:32 EST 2020. Contains 331998 sequences. (Running on oeis4.)