%I #4 Nov 27 2013 16:23:22
%S 36,212,212,1568,3138,1568,11878,63632,63632,11878,87680,1323984,
%T 3684840,1323984,87680,651678,26350948,223396744,223396744,26350948,
%U 651678,4846056,532378308,12890094328,39425246602,12890094328,532378308,4846056
%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, diagonally or antidiagonally
%C Table starts
%C ......36.........212...........1568..............11878.................87680
%C .....212........3138..........63632............1323984..............26350948
%C ....1568.......63632........3684840..........223396744...........12890094328
%C ...11878.....1323984......223396744........39425246602.........6593726545958
%C ...87680....26350948....12890094328......6593726545958......3186295643132436
%C ..651678...532378308...754650484792...1120549772696776...1566033207755153544
%C .4846056.10773984656.44225213151124.190677413113742328.770628641578865476150
%H R. H. Hardin, <a href="/A232677/b232677.txt">Table of n, a(n) for n = 1..97</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 8]
%F k=2: [order 25]
%F k=3: [order 53]
%e Some solutions for n=2 k=4
%e ..0..0..0..2..1....0..1..2..1..1....0..2..2..1..0....0..1..0..0..1
%e ..0..1..2..0..2....0..0..0..0..2....0..1..2..1..0....0..1..2..1..2
%e ..0..0..1..1..1....0..1..2..1..2....0..2..2..0..2....0..0..0..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 27 2013
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