A230465 - OEIS

%I #4 Oct 20 2013 06:52:05

%S 0,36,2398,76518,2593962,89087722,3045192312,104165339046,

%T 3563285452080,121887992143256,4169415853194504,142622935167746860,

%U 4878692038168963406,166885068627256229900,5708625519794794189586,195274541622754513824870

%N Number of nX4 0..2 arrays x(i,j) with each element horizontally, 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 A230469

%H R. H. Hardin, <a href="/A230465/b230465.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 32*a(n-1) +80*a(n-2) +240*a(n-3) -12842*a(n-4) -17792*a(n-5) -132265*a(n-6) -366801*a(n-7) +47024*a(n-8) +1005370*a(n-9) -553477*a(n-10) +4561400*a(n-11) -1643703*a(n-12) -898500*a(n-13) +4633908*a(n-14) -443679*a(n-15) -4633194*a(n-16) +715486*a(n-17) +824766*a(n-18) -483564*a(n-19) -38952*a(n-20) +33840*a(n-21)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 20 2013