A232958 - OEIS

%I #4 Dec 02 2013 18:54:40

%S 64,1029,27441,685251,17429409,442227825,11228712351,285082486341,

%T 7238105184837,183771148650939,4665845904118053,118463173683294573,

%U 3007712801760687567,76364121654785540601,1938841730920089921489

%N Number of 4Xn 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, and top left element zero

%C Row 4 of A232955

%H R. H. Hardin, <a href="/A232958/b232958.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) +76*a(n-2) -1008*a(n-3) -992*a(n-4) +8762*a(n-5) -7403*a(n-6) -2174*a(n-7) +3324*a(n-8) -416*a(n-9) -96*a(n-10)

%e Some solutions for n=3

%e ..0..1..0....0..1..0....0..2..0....0..0..0....0..1..3....0..2..0....0..1..1

%e ..0..1..3....3..2..0....2..0..2....2..2..0....3..1..0....3..2..0....1..1..3

%e ..0..2..3....0..2..2....2..2..2....3..2..3....0..2..3....3..2..0....3..1..0

%e ..3..2..0....0..2..3....2..3..3....0..1..0....3..1..3....3..1..0....3..2..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013