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%I #6 Aug 12 2016 06:55:34
%S 1,0,2,0,2,6,0,2,24,24,0,2,152,792,120,0,2,894,30488,39360,720,0,2,
%T 5748,1584088,18437120,2396880,5040,0,2,38296,90246168,10856237680,
%U 13734486480,241012800,40320,0,2,263484,5533645144,7213744082208
%N T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element plus any horizontal neighbor equal to n-1.
%C Table starts
%C .......1.............0.................0...................0..................0
%C .......2.............2.................2...................2..................2
%C .......6............24...............152.................894...............5748
%C ......24...........792.............30488.............1584088...........90246168
%C .....120.........39360..........18437120.........10856237680......7213744082208
%C .....720.......2396880.......13734486480.....105870775847760.955702928168691408
%C ....5040.....241012800....21429982230720.2630918094778547280
%C ...40320...27159592320.40229528835726720
%C ..362880.4466274785280
%C .3628800
%H R. H. Hardin, <a href="/A265882/b265882.txt">Table of n, a(n) for n = 1..55</a>
%e Some solutions for n=3 k=4
%e ..0..1..0..1....0..0..1..0....0..1..2..2....0..1..2..2....2..1..0..0
%e ..2..2..2..2....0..1..2..1....1..2..2..1....1..2..1..0....1..2..1..2
%e ..0..1..0..1....2..2..1..2....0..0..0..1....0..0..1..2....2..1..0..0
%Y Column 1 is A000142.
%K nonn,tabl
%O 1,3
%A _R. H. Hardin_, Dec 17 2015
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