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

%I #4 Dec 23 2016 08:18:30

%S 0,15,474,14281,399487,11023893,295670293,7789959515,202165948916,

%T 5182571589088,131491345952984,3306929199461466,82536757955761100,

%U 2046354441219248128,50438781290555301198,1236742541751845876398

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

%C Column 3 of A279925.

%H R. H. Hardin, <a href="/A279922/b279922.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A279922/a279922.txt">Empirical recurrence of order 54</a>

%F Empirical recurrence of order 54 (see link above)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A279925.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 23 2016