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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A208827 Number of 6-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero.

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%I A208827 #13 Jul 07 2018 06:15:43
%S A208827 18,167,828,2821,7582,17339,35288,65769,114442,188463,296660,449709,
%T A208827 660310,943363,1316144,1798481,2412930,3184951,4143084,5319125,
%U A208827 6748302,8469451,10525192,12962105,15830906,19186623,23088772,27601533,32793926
%N A208827 Number of 6-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero.
%C A208827 Row 6 of A208825.
%H A208827 R. H. Hardin, <a href="/A208827/b208827.txt">Table of n, a(n) for n = 1..210</a>
%F A208827 Empirical: a(n) = (22/15)*n^5 + (11/3)*n^4 + (14/3)*n^3 + (13/3)*n^2 + (43/15)*n + 1.
%F A208827 Conjectures from _Colin Barker_, Jul 07 2018: (Start)
%F A208827 G.f.: x*(18 + 59*x + 96*x^2 - 2*x^3 + 6*x^4 - x^5) / (1 - x)^6.
%F A208827 a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>6.
%F A208827 (End)
%e A208827 Some solutions for n=3:
%e A208827   -3  -3  -3  -2  -2  -3  -3  -2  -3  -3  -3  -3  -2  -3  -3  -2
%e A208827   -1   0  -2   0  -1  -2  -1  -1   0  -3  -1  -1  -1   2  -2   0
%e A208827    3   1   0   0   3   2   0   1  -2   1   0   2  -2  -2   3   1
%e A208827   -2  -1   3   0   0   3   2  -2  -1   3   0  -1   2  -2   2  -2
%e A208827    3   0   3   0   0  -3  -1   2   3   0   3   3   0   2  -1   0
%e A208827    0   3  -1   2   0   3   3   2   3   2   1   0   3   3   1   3
%Y A208827 Cf. A208825.
%K A208827 nonn
%O A208827 1,1
%A A208827 _R. H. Hardin_, Mar 01 2012