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!)
A210046 Number of (n+1) X 3 0..2 arrays containing all values 0..2 with every 2 X 2 subblock having two distinct values, and new values 0..2 introduced in row major order. 1
9, 119, 1271, 12377, 114237, 1020363, 8917959, 76781969, 654043429, 5527999491, 46453882975, 388684467193, 3241544130797, 26966567758011, 223909491294007, 1856454655587233, 15374716782125557, 127219112989452339 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A210052.
LINKS
FORMULA
Empirical: a(n) = 14*a(n-1) - 41*a(n-2) - 66*a(n-3) + 100*a(n-4) + 56*a(n-5) - 32*a(n-6).
Empirical g.f.: x*(9 - 7*x - 26*x^2 + 56*x^3 + 24*x^4 - 16*x^5) / ((1 - 6*x - 3*x^2 + 2*x^3)*(1 - 8*x - 4*x^2 + 16*x^3)). - Colin Barker, Jul 14 2018
EXAMPLE
Some solutions for n=4:
..0..0..1....0..0..1....0..0..0....0..1..2....0..1..2....0..0..0....0..1..2
..1..1..1....2..0..0....0..1..0....0..1..2....0..1..2....0..1..0....0..1..2
..2..1..2....2..0..2....1..0..1....0..1..2....0..1..2....0..0..1....0..1..1
..2..2..1....2..0..2....1..1..1....0..1..2....1..1..2....1..0..0....1..0..0
..1..1..2....2..2..2....2..1..2....0..1..1....0..1..1....1..0..2....0..0..2
CROSSREFS
Cf. A210052.
Sequence in context: A087984 A197544 A234964 * A130652 A054051 A159660
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 16 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 July 15 06:17 EDT 2024. Contains 374324 sequences. (Running on oeis4.)