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Number of ways to reciprocally link elements of an nX6 array either to themselves or to exactly two horizontal, diagonal and antidiagonal neighbors, without consecutive collinear links
1

%I #4 Dec 18 2012 12:48:10

%S 1,85,2276,78418,2792479,94226589,3287610473,113721332657,

%T 3938053379575,136391275221050,4722786906754895,163558767077415021,

%U 5664109467155941888,196151416904655312336,6792842076330880392087,235240039699005021696465

%N Number of ways to reciprocally link elements of an nX6 array either to themselves or to exactly two horizontal, diagonal and antidiagonal neighbors, without consecutive collinear links

%C Column 6 of A220738

%H R. H. Hardin, <a href="/A220736/b220736.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3 0=self 1=nw 3=ne 4=w 6=e 7=sw 9=se (reciprocal directions total 10)

%e .00.00.79.00.69.47...00.67.47.79.00.00...00.00.00.00.69.47...00.79.67.49.69.47

%e .00.36.47.17.39.17...39.39.39.69.14.00...00.00.00.69.34.17...36.34.17.79.13.17

%e .00.36.34.00.36.14...00.16.14.16.14.00...00.00.00.00.13.00...00.36.34.00.13.00

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 18 2012