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%I #4 Nov 26 2013 17:32:30
%S 16,72,72,516,1064,516,3048,16316,16316,3048,18944,265670,767942,
%T 265670,18944,115892,4252876,33815878,33815878,4252876,115892,713488,
%U 67979266,1481426938,4107586864,1481426938,67979266,713488,4389504,1090643352
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, vertically or antidiagonally
%C Table starts
%C ......16..........72.............516...............3048..................18944
%C ......72........1064...........16316.............265670................4252876
%C .....516.......16316..........767942...........33815878.............1481426938
%C ....3048......265670........33815878.........4107586864...........497042884074
%C ...18944.....4252876......1481426938.......497042884074........164594058779448
%C ..115892....67979266.....65570285646.....60461419039912......55003296878624386
%C ..713488..1090643352...2886850804200...7337689178112392...18327756561362881814
%C .4389504.17469440576.127313989421500.891245405559834402.6110458911406869788438
%H R. H. Hardin, <a href="/A232579/b232579.txt">Table of n, a(n) for n = 1..112</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 11]
%F k=2: [order 37] for n>38
%e Some solutions for n=2 k=4
%e ..0..2..2..0..0....0..2..2..0..2....0..2..2..0..1....0..1..0..2..1
%e ..1..1..2..1..2....1..0..1..2..1....1..0..1..2..1....2..0..1..2..0
%e ..0..2..2..0..1....2..0..2..0..0....0..0..0..1..0....1..2..0..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 26 2013