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!)
A203084 Number of (n+2) X 3 binary arrays avoiding patterns 000 and 101 in rows and columns. 2
98, 253, 621, 1575, 4000, 10057, 25384, 64140, 161819, 408415, 1031041, 2602296, 6568305, 16579362, 41847510, 105626421, 266611217, 672949667, 1698582936, 4287374163, 10821707646, 27314936026, 68945297129, 174023973205 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A203091.
LINKS
FORMULA
Empirical: a(n) = a(n-1) + a(n-2) + 6*a(n-3) + 2*a(n-4) + 3*a(n-5) - a(n-6) - a(n-8) - a(n-9) - a(n-10).
Empirical g.f.: x*(98 + 155*x + 270*x^2 + 113*x^3 + 90*x^4 - 44*x^5 - 26*x^6 - 61*x^7 - 53*x^8 - 36*x^9) / (1 - x - x^2 - 6*x^3 - 2*x^4 - 3*x^5 + x^6 + x^8 + x^9 + x^10). - Colin Barker, Mar 03 2018
EXAMPLE
Some solutions for n=3:
1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 1 1 1 0 0
1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0
1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1 1
1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1
0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0
CROSSREFS
Cf. A203091.
Sequence in context: A063369 A038863 A203091 * A202378 A202371 A195751
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 29 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 April 18 16:22 EDT 2024. Contains 371780 sequences. (Running on oeis4.)