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A208719 Number of n-bead necklaces labeled with numbers 1..6 allowing reversal, with no adjacent beads differing by more than 1.

%I A208719 #11 Mar 13 2017 00:30:06
%S A208719 6,11,16,30,48,100,182,404,850,1996,4614,11391,28002,71236,181710,
%T A208719 471437,1227712,3226816,8509930,22564205,60002088,160113626,428273964,
%U A208719 1148410792,3085474406,8305718893,22394409228,60474491712,163531569910,442782412569
%N A208719 Number of n-bead necklaces labeled with numbers 1..6 allowing reversal, with no adjacent beads differing by more than 1.
%H A208719 Andrew Howroyd, <a href="/A208719/b208719.txt">Table of n, a(n) for n = 1..100</a>
%F A208719 a(2n+1) = (1/2) * (A208775(2n+1) + A126360(n+1)). - _Andrew Howroyd_, Mar 03 2017
%F A208719 a(2n) = (1/2) * A208775(2n) + (1/4) * (A126360(n) + A126360(n+1)). - _Andrew Howroyd_, Mar 03 2017
%e A208719 All solutions for n=3:
%e A208719 ..1....5....2....4....5....1....4....1....6....5....3....3....3....4....2....2
%e A208719 ..2....5....3....4....5....1....5....1....6....6....3....3....4....4....2....2
%e A208719 ..2....5....3....4....6....2....5....1....6....6....3....4....4....5....2....3
%Y A208719 Column 6 of A208721.
%Y A208719 Cf. A208775, A126360.
%K A208719 nonn
%O A208719 1,1
%A A208719 _R. H. Hardin_, Mar 01 2012
%E A208719 a(26)-a(30) from _Andrew Howroyd_, Mar 03 2017