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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A278203 Number of n X 3 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) (1,0) or (1,1), with upper left element zero. 1
0, 15, 97, 666, 4827, 34869, 251260, 1811189, 13056663, 94122538, 678506791, 4891196693, 35259493158, 254177432493, 1832305613593, 13208662283862, 95218154664535, 686405389318065, 4948135785116200, 35669952667919773 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) + 7*a(n-2) + 11*a(n-3) + 11*a(n-4) - 9*a(n-5) + 3*a(n-7) - 2*a(n-8) for n>9.

Empirical g.f.: x^2*(15 + 7*x - 21*x^2 - 13*x^3 + 13*x^4 - x^5 - 4*x^6 + 2*x^7) / (1 - 6*x - 7*x^2 - 11*x^3 - 11*x^4 + 9*x^5 - 3*x^7 + 2*x^8). - Colin Barker, Feb 09 2019

EXAMPLE

Some solutions for n=4:

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

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

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

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

CROSSREFS

Column 3 of A278208.

Sequence in context: A298105 A283168 A232296 * A159528 A108681 A108254

Adjacent sequences:  A278200 A278201 A278202 * A278204 A278205 A278206

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 15 2016

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 July 18 21:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)