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!)
A208690 Number of 4 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. 1

%I #9 Jul 05 2018 13:53:24

%S 9,81,189,927,2889,11727,40581,154359,554733,2062215,7512453,27700479,

%T 101402109,372809655,1367107173,5021003151,18423673101,67639822407,

%U 248247487989,911283026751,3344800820445,12277727839863,45065827217925

%N Number of 4 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically.

%C Row 4 of A208688.

%H R. H. Hardin, <a href="/A208690/b208690.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 10*a(n-2) + 2*a(n-3) - 10*a(n-4).

%F Empirical g.f.: 9*x*(1 + 8*x + 2*x^2 - 10*x^3) / (1 - x - 10*x^2 - 2*x^3 + 10*x^4). - _Colin Barker_, Jul 05 2018

%e Some solutions for n=4:

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

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

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

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

%Y Cf. A208688.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 01 2012

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 April 25 12:53 EDT 2024. Contains 371969 sequences. (Running on oeis4.)