A230522 - OEIS

%I #4 Oct 22 2013 05:46:44

%S 0,576,29618,1787448,110423366,6768331956,415065958262,25457364392092,

%T 1561331948614650,95758535202463608,5873000943820258566,

%U 360199070693628458512,22091494902203014065954,1354901188204245617173920

%N Number of nX4 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero

%C Column 4 of A230526

%H R. H. Hardin, <a href="/A230522/b230522.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 49*a(n-1) +623*a(n-2) +8106*a(n-3) +7624*a(n-4) -167693*a(n-5) -2292440*a(n-6) -5898234*a(n-7) -9101638*a(n-8) +16551780*a(n-9) +44691360*a(n-10) +52428528*a(n-11) -38453760*a(n-12) -18271680*a(n-13) -2291328*a(n-14) +4852224*a(n-15)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 22 2013