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!)
A231259 Number of (n+1)X(4+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order 1

%I #4 Nov 06 2013 07:54:29

%S 7,83,1253,19503,302121,4670875,72212345,1116538567,17264116873,

%T 266940042371,4127456101305,63819175744751,986779131942921,

%U 15257688013347083,235916058283574201,3647760162012484183

%N Number of (n+1)X(4+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order

%C Column 4 of A231263

%H R. H. Hardin, <a href="/A231259/b231259.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 31*a(n-1) -364*a(n-2) +2570*a(n-3) -12609*a(n-4) +44731*a(n-5) -117554*a(n-6) +227260*a(n-7) -319008*a(n-8) +314816*a(n-9) -208992*a(n-10) +83456*a(n-11) -14336*a(n-12)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 06 2013

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 May 16 08:41 EDT 2024. Contains 372552 sequences. (Running on oeis4.)