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!)
A197162 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,2,1,4,0 for x=0,1,2,3,4 1

%I #5 Mar 31 2012 12:36:28

%S 2,14,66,306,1489,7106,34021,162800,779173,3731019,17861710,85505996,

%T 409326530,1959518173,9380666694,44907278950,214980183814,

%U 1029152921923,4926762747428,23585417675523,112908198853318,540514482104282

%N Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,2,1,4,0 for x=0,1,2,3,4

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

%C Column 3 of A197167

%H R. H. Hardin, <a href="/A197162/b197162.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 2*a(n-1) +5*a(n-2) +21*a(n-3) +48*a(n-4) +168*a(n-5) +194*a(n-6) +40*a(n-7) -492*a(n-8) -713*a(n-9) -516*a(n-10) +152*a(n-11) +700*a(n-12) +538*a(n-13) +265*a(n-14) -160*a(n-15) -176*a(n-16) -53*a(n-17) -4*a(n-18) +26*a(n-19) +3*a(n-20) -10*a(n-21) -3*a(n-22)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 10 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 March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)