A196702 - OEIS

%I #5 Mar 31 2012 12:36:26

%S 4,38,207,1366,8672,55436,353591,2257739,14423220,92115943,588320201,

%T 3757410951,23997532467,153266354657,978872278459,6251798756146,

%U 39928597422454,255013470704155,1628704187503479,10402106496493731

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

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

%C Column 3 of A196707

%H R. H. Hardin, <a href="/A196702/b196702.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 2*a(n-1) +16*a(n-2) +54*a(n-3) +114*a(n-4) +239*a(n-5) +95*a(n-6) -1499*a(n-7) -3689*a(n-8) -5467*a(n-9) -343*a(n-10) +12342*a(n-11) +11754*a(n-12) -2955*a(n-13) +3006*a(n-14) +15969*a(n-15) +11712*a(n-16) +381*a(n-17) +5853*a(n-18) +8837*a(n-19) +2089*a(n-20) -4023*a(n-21) +2697*a(n-22) -1309*a(n-23) +137*a(n-24) -187*a(n-25) +46*a(n-26) -41*a(n-27) -4*a(n-28) -a(n-29) for n>30

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 05 2011