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!)
A238907 Number of (n+1) X (2+1) 0..2 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..2 introduced in row major order. 1

%I #6 Apr 13 2022 19:46:08

%S 9,41,486,4287,41165,385632,3638773,34262775,322817734,3040984385,

%T 28647966717,269877546432,2542386946921,23950576862273,

%U 225626690048980,2125518640310461,20023471678068295,188631332893572912

%N Number of (n+1) X (2+1) 0..2 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..2 introduced in row major order.

%C Column 2 of A238912.

%H R. H. Hardin, <a href="/A238907/b238907.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +32*a(n-2) +8*a(n-3) -51*a(n-4) -43*a(n-5) -5*a(n-6) +37*a(n-7) -5*a(n-8) -2*a(n-9) +4*a(n-10).

%e Some solutions for n=5

%e ..0..1..0....0..1..2....0..1..0....0..1..2....0..1..2....0..1..0....0..1..2

%e ..2..0..2....2..0..1....2..0..1....1..2..1....1..0..1....1..0..1....1..0..1

%e ..2..0..2....1..2..0....0..1..0....2..1..0....1..2..0....0..2..0....1..2..1

%e ..0..2..0....1..0..2....2..0..2....1..2..0....0..1..2....2..0..2....2..0..2

%e ..0..2..1....0..2..1....1..2..1....2..0..1....0..1..2....1..2..0....1..0..2

%e ..2..0..2....1..0..2....0..1..0....0..1..0....2..0..1....2..0..1....0..2..1

%Y Cf. A238912.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 07 2014

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 16 15:23 EDT 2024. Contains 373432 sequences. (Running on oeis4.)