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Number of (n+1)X(3+1) 0..4 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions but not both
1

%I #5 Aug 11 2014 22:46:07

%S 2056,28840,301776,4255966,49077768,678552840,8058197452,109362379520,

%T 1321852668660,17679539166428,216465813530752,2862957285500140,

%U 35397862176906684,464184948090425520,5782110121303095708

%N Number of (n+1)X(3+1) 0..4 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions but not both

%C Column 3 of A234777

%H R. H. Hardin, <a href="/A234772/b234772.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A234772/a234772.txt">Empirical recurrence of order 52</a>

%F Empirical recurrence of order 52 (see link above)

%e Some solutions for n=2

%e ..0..0..3..3....3..3..2..2....3..1..4..2....2..1..1..1....4..4..4..4

%e ..2..1..2..4....2..1..1..0....3..2..3..2....2..0..2..3....3..2..3..2

%e ..3..3..3..3....2..3..2..2....4..2..4..1....1..0..1..3....3..4..4..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2013