login
This site is supported by donations to The OEIS Foundation.

 

Logo

The October issue of the Notices of the Amer. Math. Soc. has an article about the OEIS.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A229584 Number of defective 3-colorings of an n X 6 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order. 1
40, 1620, 49848, 1375152, 35690460, 890824020, 21639043284, 515235810840, 12081465854052, 279877517457936, 6420164883723960, 146080173897129444, 3301145304079911108, 74165789377610689020, 1657889614174445634696 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 50*a(n-1) - 805*a(n-2) + 4662*a(n-3) - 12150*a(n-4) + 14580*a(n-5) - 6561*a(n-6).

Empirical g.f.: 4*x*(10 - 95*x + 262*x^2 + 93*x^3 - 1485*x^4 + 1701*x^5) / (1 - 25*x + 90*x^2 - 81*x^3)^2. - Colin Barker, Sep 19 2018

EXAMPLE

Some solutions for n=3:

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

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

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

CROSSREFS

Column 6 of A229586.

Sequence in context: A041761 A229635 A278431 * A140702 A223609 A145294

Adjacent sequences:  A229581 A229582 A229583 * A229585 A229586 A229587

KEYWORD

nonn,changed

AUTHOR

R. H. Hardin, Sep 26 2013

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 25 01:17 EDT 2018. Contains 315360 sequences. (Running on oeis4.)