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%I #4 Dec 30 2013 15:55:05
%S 240,1624,9404,64180,398696,2678704,17095452,113639852,734839992,
%T 4854653704,31602975908,208063060500,1359127599368,8931080869632,
%U 58444233063876,383651997405084,2512900960515088,16486518956098136
%N Number of (n+1)X(2+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions but not both
%C Column 2 of A234769
%H R. H. Hardin, <a href="/A234763/b234763.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) +21*a(n-2) -252*a(n-3) +125*a(n-4) +1818*a(n-5) -2050*a(n-6) -4364*a(n-7) +6237*a(n-8) +2860*a(n-9) -5787*a(n-10) +336*a(n-11) +1311*a(n-12) -262*a(n-13)
%e Some solutions for n=4
%e ..0..0..2....1..3..1....3..1..0....2..2..0....3..0..2....1..1..1....0..1..3
%e ..2..1..2....2..3..2....2..2..3....0..1..0....2..1..2....2..3..2....2..2..2
%e ..2..0..2....1..1..2....3..1..0....2..1..2....0..1..0....2..1..2....3..1..3
%e ..1..1..2....2..0..3....3..2..0....0..1..0....2..2..3....2..3..2....3..2..3
%e ..2..0..2....2..1..2....0..1..1....0..2..3....3..1..3....1..3..1....0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 30 2013
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