%I #8 Dec 12 2015 01:49:58
%S 1,1,1,1,1,0,1,1,1,0,1,1,1,2,0,1,1,1,3,0,0,1,1,1,3,5,3,0,1,1,1,3,6,17,
%T 0,0,1,1,1,3,6,26,35,4,0,1,1,1,3,6,27,84,102,0,0,1,1,1,3,6,27,98,324,
%U 240,0,0,1,1,1,3,6,27,99,442,1170,665,11,0,1,1,1,3,6,27,99,462,1968,4412,1661
%N T(n,k) = number of lengthn 0..k arrays connected endaround, with no sequence of L<n elements immediately followed by itself (periodic "squarefree"), and new values introduced in order 0..k.
%C Table starts
%C .1..1....1.....1......1......1......1......1......1......1......1......1......1
%C .1..1....1.....1......1......1......1......1......1......1......1......1......1
%C .0..1....1.....1......1......1......1......1......1......1......1......1......1
%C .0..2....3.....3......3......3......3......3......3......3......3......3......3
%C .0..0....5.....6......6......6......6......6......6......6......6......6......6
%C .0..3...17....26.....27.....27.....27.....27.....27.....27.....27.....27.....27
%C .0..0...35....84.....98.....99.....99.....99.....99.....99.....99.....99.....99
%C .0..4..102...324....442....462....463....463....463....463....463....463....463
%C .0..0..240..1170...1968...2205...2232...2233...2233...2233...2233...2233...2233
%C .0..0..665..4412...9214..11414..11839..11874..11875..11875..11875..11875..11875
%C .0.11.1661.16313..43263..61028..66176..66880..66924..66925..66925..66925..66925
%C .0.12.4501.61138.205749.337089.390465.401210.402309.402363.402364.402364.402364
%H R. H. Hardin, <a href="/A215401/b215401.txt">Table of n, a(n) for n = 1..294</a>
%e Some solutions for n=6, k=4:
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1
%e ..2....0....2....2....2....2....2....0....2....2....2....2....2....2....0....2
%e ..1....2....0....0....3....3....3....2....3....1....3....0....1....1....2....3
%e ..0....3....1....3....4....2....0....3....0....0....1....3....3....3....1....2
%e ..2....4....3....1....2....1....4....2....2....3....3....4....1....2....2....4
%K nonn,tabl
%O 1,14
%A _R. H. Hardin_, Aug 09 2012
