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A209030 Number of n-bead necklaces labeled with numbers -6..6 allowing reversal, with sum zero and first differences in -6..6. 1

%I

%S 1,4,10,60,358,2798,22249,186765,1596162,13907330,122758794,

%T 1096122478,9880366438,89796245827,821927851286,7570508171686,

%U 70115797179348,652594351781036,6100765243003922,57259681174637899,539353919732122101,5097036850039818860

%N Number of n-bead necklaces labeled with numbers -6..6 allowing reversal, with sum zero and first differences in -6..6.

%H Andrew Howroyd, <a href="/A209030/b209030.txt">Table of n, a(n) for n = 1..50</a>

%e Some solutions for n=6:

%e -3 -6 -4 -4 -2 -3 -3 -3 -4 -6 -3 -3 -2 -4 -5 -5

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

%e 4 -1 0 2 1 2 3 -2 -3 2 2 4 2 2 -4 0

%e -2 3 5 3 -1 -1 -1 1 0 3 2 -1 0 3 2 5

%e 0 5 4 4 0 1 -2 2 5 5 2 -1 0 0 5 4

%e 2 0 -2 -2 2 3 2 2 1 0 -1 2 1 2 1 1

%Y Column 6 of A209032.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 04 2012

%E a(14)-a(22) from _Andrew Howroyd_, Mar 12 2017

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Last modified October 18 15:22 EDT 2021. Contains 348068 sequences. (Running on oeis4.)