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!)
A300541 Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
1, 11, 71, 450, 2879, 18365, 117146, 747252, 4766519, 30404411, 193941921, 1237105726, 7891179813, 50335810076, 321079209472, 2048081844697, 13064188271417, 83333102938721, 531560469056352, 3390687761515265 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 3 of A300546.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +9*a(n-2) -8*a(n-4) -3*a(n-5) +4*a(n-6) +4*a(n-7) +2*a(n-8) for n>10
EXAMPLE
Some solutions for n=5
..0..0..1. .0..0..1. .0..0..0. .0..0..0. .0..0..1. .0..0..0. .0..0..1
..1..0..1. .1..0..1. .1..1..1. .1..1..0. .0..1..0. .1..1..1. .0..1..0
..1..1..1. .1..0..1. .0..0..1. .0..1..0. .1..0..1. .1..0..1. .1..0..1
..0..1..1. .0..0..1. .0..1..0. .0..1..0. .1..1..1. .1..0..1. .1..0..1
..0..0..1. .0..0..0. .0..0..0. .0..0..0. .1..0..0. .0..0..0. .1..0..0
CROSSREFS
Cf. A300546.
Sequence in context: A049350 A164559 A319535 * A123362 A199488 A068847
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 08 2018
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 May 22 13:22 EDT 2024. Contains 372755 sequences. (Running on oeis4.)