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Number of length-n 0..6 arrays with no adjacent pair x,x+1 followed at any distance by x+1,x.
1

%I #4 Feb 04 2016 22:03:37

%S 7,49,337,2311,15816,108032,736525,5012171,34047931,230889543,

%T 1563104184,10564826628,71293105297,480355314513,3231663192859,

%U 21709801573961,145636117720769,975623832619371,6526972402359763,43608650962250889

%N Number of length-n 0..6 arrays with no adjacent pair x,x+1 followed at any distance by x+1,x.

%C Column 6 of A268457.

%H R. H. Hardin, <a href="/A268455/b268455.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A268455/a268455.txt">Empirical recurrence of order 89</a>

%F Empirical recurrence of order 89 (see link above)

%e Some solutions for n=6

%e ..4....4....2....2....4....1....0....4....5....1....2....4....2....0....3....1

%e ..4....3....6....4....1....0....0....2....4....0....4....3....3....4....6....1

%e ..4....0....6....5....3....6....3....1....0....6....2....1....3....3....2....2

%e ..0....4....4....6....0....5....5....0....4....6....3....3....4....2....4....0

%e ..6....4....4....4....2....2....3....4....1....6....0....5....5....1....3....5

%e ..3....5....1....4....2....0....5....3....0....5....6....1....1....2....1....2

%Y Cf. A268457.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 04 2016