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%I #4 Dec 30 2013 15:59:38
%S 56,240,240,916,1624,916,3800,9404,9404,3800,14828,64180,71280,64180,
%T 14828,60552,398696,760072,760072,398696,60552,239044,2678704,6340684,
%U 14119456,6340684,2678704,239044,967784,17095452,65760368,197124696
%N T(n,k)=Number of (n+1)X(k+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 Table starts
%C .......56........240..........916............3800.............14828
%C ......240.......1624.........9404...........64180............398696
%C ......916.......9404........71280..........760072...........6340684
%C .....3800......64180.......760072........14119456.........197124696
%C ....14828.....398696......6340684.......197124696........3638129496
%C ....60552....2678704.....65760368......3593149200......110652181732
%C ...239044...17095452....570633100.....54068454752.....2177670570012
%C ...967784..113639852...5760421980....958972097240....63554604975864
%C ..3845148..734839992..51229946356..15068994560048..1306257181734516
%C .15493000.4854653704.506912579200.261956551635124.36759444769806576
%H R. H. Hardin, <a href="/A234769/b234769.txt">Table of n, a(n) for n = 1..220</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +14*a(n-2) -a(n-3) -25*a(n-4) -10*a(n-5)
%F k=2: [order 13]
%F k=3: [order 27]
%F k=4: [order 73]
%e Some solutions for n=3 k=4
%e ..0..2..3..2..0....0..1..1..2..1....0..2..3..2..0....2..2..3..3..1
%e ..0..1..1..2..1....0..2..0..2..0....0..1..3..1..0....0..1..1..2..1
%e ..2..2..3..2..0....0..1..0..1..0....3..2..2..1..2....3..2..3..2..3
%e ..0..1..3..1..1....2..1..2..2..0....1..1..0..0..0....1..2..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 30 2013
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