|
%I #8 Sep 28 2018 14:59:21
%S 1,2,4,12,33,102,329,1075,3622,12298,42132,145145,501380,1735895,
%T 6017101,20873202,72444888,251507292,873325097,3032847106,10533086197,
%U 36583055791,127062078054,441325714766,1532875934756,5324239108913
%N Number of (n+1) X (1+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..3 introduced in row major order.
%H R. H. Hardin, <a href="/A231356/b231356.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) + 5*a(n-2) - 5*a(n-3) - 24*a(n-4) - 2*a(n-5) + 15*a(n-6) + 9*a(n-7).
%F Empirical g.f.: x*(1 - x - 7*x^2 - 5*x^3 + 11*x^4 + 13*x^5 + 3*x^6) / ((1 - x)*(1 - x - 2*x^2 - x^3)*(1 - x - 6*x^2 - 9*x^3)). - _Colin Barker_, Sep 28 2018
%e Some solutions for n=7:
%e ..0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0
%e ..0..1....0..1....0..0....0..0....0..1....0..1....0..1....0..1....0..0....0..1
%e ..1..1....1..1....1..1....0..1....1..1....1..1....1..1....1..1....0..0....1..1
%e ..1..2....2..2....1..1....1..1....1..2....2..2....0..0....1..1....0..0....1..1
%e ..2..2....2..1....1..1....1..2....2..2....2..2....0..0....1..1....0..0....2..2
%e ..3..3....1..1....1..1....2..2....0..0....0..0....0..0....2..2....0..0....2..1
%e ..3..2....1..3....1..1....0..0....0..1....0..0....1..1....2..1....1..1....1..1
%e ..2..2....3..3....1..1....0..0....1..1....0..0....1..1....1..1....1..1....1..1
%Y Column 1 of A231363.
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 08 2013
| 