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!)
A279867 Number of nX3 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1

%I #4 Dec 21 2016 10:37:32

%S 0,33,176,824,3199,11983,42296,143968,476675,1543667,4909096,15379744,

%T 47578031,145603087,441441920,1327480296,3963270819,11757089555,

%U 34678442976,101761151096,297221474943,864446263551,2504466596040

%N Number of nX3 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 3 of A279871.

%H R. H. Hardin, <a href="/A279867/b279867.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -13*a(n-2) -3*a(n-3) +13*a(n-4) +11*a(n-5) +29*a(n-6) -49*a(n-7) -8*a(n-8) -38*a(n-9) +28*a(n-10) +8*a(n-11) +16*a(n-12) for n>18

%e Some solutions for n=4

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

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

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

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

%Y Cf. A279871.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 21 2016

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 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)