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!)
A206163 Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order. 1
85, 1070, 17142, 238182, 3814022, 53494742, 850283062, 12012206406, 189640648294, 2696243766070, 42310772017430, 604975719064998, 9442901799738950, 135699248890772630, 2108048210361864694 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A206169.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) + 217*a(n-2) - 33*a(n-3) - 1320*a(n-4) - 432*a(n-5) + 1152*a(n-6) for n>7.

Empirical g.f.: x*(85 + 985*x - 2373*x^2 - 8345*x^3 + 3536*x^4 + 10032*x^5 - 2688*x^6) / ((1 - x - 4*x^2)*(1 - 213*x^2 - 180*x^3 + 288*x^4)). - Colin Barker, Jun 13 2018

EXAMPLE

Some solutions for n=4:

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

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

..3..3..1....3..1..0....2..3..2....0..2..0....3..1..3....1..2..3....1..1..1

..1..3..3....0..3..1....3..1..3....1..3..3....2..2..2....2..2..2....0..1..3

..0..2..0....2..3..2....1..3..1....3..0..3....1..2..3....1..1..0....2..1..2

CROSSREFS

Cf. A206169.

Sequence in context: A194533 A069308 A183643 * A020239 A297587 A189439

Adjacent sequences:  A206160 A206161 A206162 * A206164 A206165 A206166

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 04 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 September 16 23:53 EDT 2021. Contains 347477 sequences. (Running on oeis4.)