A219123 - OEIS

%I #4 Nov 12 2012 19:00:27

%S 9,87,787,6981,63183,571149,5167013,46755215,423105613,3828940359,

%T 34650738731,313579561365,2837811156791,25681442217553,

%U 232410308770677,2103252374190595,19033883010223093,172251656124086271

%N Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX3 array

%C Column 3 of A219128

%H R. H. Hardin, <a href="/A219123/b219123.txt">Table of n, a(n) for n = 1..36</a>

%F Empirical: a(n) = 10*a(n-1) -5*a(n-2) -24*a(n-3) -70*a(n-4) -58*a(n-5) -81*a(n-6) -200*a(n-7) +269*a(n-8) +1056*a(n-9) +1650*a(n-10) +1036*a(n-11) +200*a(n-12)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 12 2012