%I #8 Oct 16 2018 05:41:50
%S 56,240,916,3800,14828,60552,239044,967784,3845148,15493000,61775668,
%T 248247480,991807292,3979719864,15917452772,63817779896,255404741740,
%U 1023525137992,4097640224516,16416968389544,65737110052316
%N Number of (n+1) X (1+1) 0..3 arrays with 2 X 2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions but not both.
%H R. H. Hardin, <a href="/A234762/b234762.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 14*a(n-2) - a(n-3) - 25*a(n-4) - 10*a(n-5).
%F Empirical g.f.: 4*x*(14 + 46*x - 27*x^2 - 105*x^3 - 39*x^4) / (1 - x - 14*x^2 + x^3 + 25*x^4 + 10*x^5). - _Colin Barker_, Oct 16 2018
%e Some solutions for n=5:
%e ..0..0....1..1....1..2....3..0....1..2....1..2....2..2....2..1....2..3....3..2
%e ..2..1....0..2....0..2....2..1....3..2....1..3....1..0....2..3....1..1....0..1
%e ..2..3....1..2....1..1....3..3....1..2....1..2....1..2....2..1....0..2....2..2
%e ..2..1....0..2....2..3....1..2....0..0....0..0....1..3....0..0....1..2....1..0
%e ..3..1....1..2....1..1....0..3....1..2....2..1....1..2....2..1....3..2....1..2
%e ..3..2....0..0....3..2....1..2....0..3....2..3....1..3....0..1....1..1....1..0
%Y Column 1 of A234769.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 30 2013