A230171 - OEIS

%I #4 Oct 11 2013 07:19:29

%S 3,193,3787,78849,1637019,33908253,704822331,14643857893,304104787011,

%T 6315931613849,131183171878903,2724650132436217,56590036701710599,

%U 1175359025263665849,24411897444501278899,507028430780683682221

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

%C Column 3 of A230176

%H R. H. Hardin, <a href="/A230171/b230171.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +50*a(n-2) +1467*a(n-3) +7177*a(n-4) +27682*a(n-5) +45031*a(n-6) +22024*a(n-7) -61992*a(n-8) -130960*a(n-9) -145201*a(n-10) -231795*a(n-11) -285312*a(n-12) -178036*a(n-13) +6345*a(n-14) -60491*a(n-15) -91748*a(n-16) -155577*a(n-17) +52430*a(n-18) +56132*a(n-19) -1509*a(n-20) -9112*a(n-21) +502*a(n-22) +1976*a(n-23) +240*a(n-24) -96*a(n-25) -32*a(n-26) for n>27

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 11 2013