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!)
A196140 Number of nX2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,4,1,2 for x=0,1,2,3,4 4

%I #5 Mar 31 2012 12:36:25

%S 3,5,8,17,34,62,123,243,471,924,1817,3558,6978,13697,26865,52699,

%T 103398,202847,397944,780720,1531657,3004865,5895113,11565346,

%U 22689467,44513380,87328672,171325871,336115955,659409701,1293664016,2537976953,4979134498

%N Number of nX2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,4,1,2 for x=0,1,2,3,4

%C Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 2's

%C Column 2 of A196146

%H R. H. Hardin, <a href="/A196140/b196140.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 2*a(n-1) +a(n-3) -2*a(n-4) -a(n-5) +a(n-6)

%e Some solutions for n=4

%e .1.0...0.1...1.0...0.0...0.1...1.0...1.0...1.0...0.0...1.1

%e .1.0...1.3...3.1...0.0...0.1...1.1...1.0...3.1...1.1...0.0

%e .1.1...3.1...1.1...0.0...1.1...0.1...1.0...1.3...1.1...0.0

%e .0.1...1.0...0.0...1.1...1.0...0.1...1.0...0.1...0.0...0.0

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 28 2011

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 September 7 04:24 EDT 2024. Contains 375729 sequences. (Running on oeis4.)