A196598 - OEIS

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

%S 1,17,116,667,4529,26558,170468,1067723,6694705,41981191,263257030,

%T 1651418740,10357579301,64961533372,407436733800,2555438539179,

%U 16027677245855,100525225308587,630492043325935,3954433363194971

%N Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,2,4,0,3 for x=0,1,2,3,4

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

%C Column 5 of A196601

%H R. H. Hardin, <a href="/A196598/b196598.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 2*a(n-1) +16*a(n-2) +43*a(n-3) +120*a(n-4) +242*a(n-5) -17*a(n-6) -727*a(n-7) -529*a(n-8) +362*a(n-9) +378*a(n-10) +5*a(n-11) -55*a(n-12) +5*a(n-13) -51*a(n-14) +65*a(n-15) +15*a(n-16) -5*a(n-17) -2*a(n-18) -a(n-19)

%e Some solutions for n=4

%e ..0..0..3..0..0....0..0..0..3..0....0..0..0..3..0....0..0..3..0..0

%e ..3..0..0..0..0....0..0..3..0..0....0..3..3..0..0....0..0..0..0..3

%e ..0..0..0..0..3....3..0..3..0..3....3..0..0..0..3....3..0..3..3..0

%e ..0..0..0..3..0....0..3..0..0..0....0..0..3..0..0....0..0..0..0..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 04 2011