The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A296682 Number of n X 2 0..1 arrays with each 1 adjacent to 1, 2 or 3 king-move neighboring 1s. 1
2, 12, 43, 145, 524, 1888, 6737, 24093, 86250, 308600, 1104107, 3950629, 14135676, 50578004, 180970841, 647524153, 2316876914, 8289912724, 29661766587, 106131439497, 379744147900, 1358745529912, 4861666537265, 17395311311589 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) - a(n-2) + 11*a(n-3) - 2*a(n-4) + 8*a(n-5) - 4*a(n-6).
Empirical g.f.: x*(2 + 6*x + 9*x^2 + 6*x^3 + 4*x^4 - 4*x^5) / (1 - 3*x + x^2 - 11*x^3 + 2*x^4 - 8*x^5 + 4*x^6). - Colin Barker, Feb 24 2019
EXAMPLE
Some solutions for n=7:
..1..1. .1..0. .0..1. .1..0. .0..1. .1..0. .0..1. .1..0. .0..1. .1..0
..0..1. .1..1. .0..1. .1..1. .1..0. .1..1. .0..1. .1..0. .1..0. .1..1
..0..1. .0..1. .0..1. .0..1. .0..0. .0..0. .0..1. .1..0. .1..0. .0..1
..0..0. .0..0. .0..0. .1..0. .1..1. .0..0. .0..0. .1..1. .0..1. .0..1
..1..1. .1..1. .0..1. .1..0. .0..1. .1..0. .1..1. .0..0. .1..0. .0..1
..0..1. .1..0. .1..1. .1..1. .1..0. .1..0. .1..0. .1..1. .1..0. .1..0
..1..0. .0..0. .1..0. .0..0. .1..0. .1..0. .0..1. .0..1. .0..1. .1..0
CROSSREFS
Column 2 of A296688.
Sequence in context: A189491 A301556 A055681 * A351616 A111389 A203278
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 18 2017
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 15 19:43 EDT 2024. Contains 373410 sequences. (Running on oeis4.)