A198008 - OEIS

%I #5 Mar 31 2012 12:36:31

%S 2,12,51,182,753,3061,12503,51668,213279,880209,3634766,15007471,

%T 61961064,255823889,1056237984,4360961496,18005397659,74340087665,

%U 306933036933,1267255479837,5232203898902,21602557380388,89191955117072

%N Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,3,0,1,2 for x=0,1,2,3,4

%C Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 2's

%C Column 3 of A198013

%H R. H. Hardin, <a href="/A198008/b198008.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) +23*a(n-3) +13*a(n-4) -9*a(n-5) -109*a(n-6) -98*a(n-7) +122*a(n-8) +332*a(n-9) +155*a(n-10) -557*a(n-11) -826*a(n-12) -13*a(n-13) +838*a(n-14) +800*a(n-15) +163*a(n-16) -309*a(n-17) -307*a(n-18) -142*a(n-19) -51*a(n-20) -45*a(n-21) +32*a(n-22) +12*a(n-23) -4*a(n-24)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 20 2011