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!)
A282990 Number of nX2 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors. 5

%I #9 Oct 20 2023 15:06:48

%S 4,11,33,98,291,865,2570,7637,22693,67432,200373,595405,1769236,

%T 5257255,15621845,46420050,137936399,409875693,1217938738,3619084505,

%U 10754048825,31955475472,94955158681,282157659273,838426745764,2491370993875

%N Number of nX2 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors.

%C Column 2 of A282996, A295275.

%H R. H. Hardin, <a href="/A282990/b282990.txt">Table of n, a(n) for n = 1..210</a>

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

%F Empirical: G.f.: -x*(-4-3*x+x^2+x^3)/(1-2*x-3*x^2+x^4) . - _R. J. Mathar_, Mar 02 2017

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A282996, A295275.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 26 2017

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 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)