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!)
A232585 Number of (n+1)X(4+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal 1
26, 152, 996, 6406, 41328, 266490, 1718514, 11082034, 71463916, 460844060, 2971811106, 19164098964, 123582110878, 796934839170, 5139134890906, 33140359949992, 213709793755260, 1378134577168966, 8887074754111400 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A232589

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +9*a(n-2) +2*a(n-3) +a(n-4) +2*a(n-5).

Empirical: G.f.: -2*x*(13+11*x+x^2+3*x^3+2*x^4) / ( (1+x)*(2*x^4-x^3+3*x^2+6*x-1) ). - R. J. Mathar, Nov 23 2014

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A014552 A192289 A230906 * A042314 A280213 A200874

Adjacent sequences:  A232582 A232583 A232584 * A232586 A232587 A232588

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 29 23:00 EDT 2022. Contains 354913 sequences. (Running on oeis4.)