login
Number of nX3 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j)
1

%I #4 Oct 01 2013 06:51:06

%S 3,81,987,13401,178311,2381469,31783299,424240833,5662582239,

%T 75582071565,1008840783171,13465626160209,179734091085543,

%U 2399022766771749,32021249796760479,427407548197383945,5704874525707845543

%N Number of nX3 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j)

%C Column 3 of A229847

%H R. H. Hardin, <a href="/A229842/b229842.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +44*a(n-2) +20*a(n-3) -122*a(n-4) -303*a(n-5) -129*a(n-6) +244*a(n-7) +526*a(n-8) -74*a(n-9) -220*a(n-10) -225*a(n-11) +96*a(n-12) +172*a(n-13) -50*a(n-14) +44*a(n-15)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 01 2013