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%I #7 Dec 25 2020 13:04:43
%S 0,0,0,0,1,1,1,1,1,3,2,2,4,3,2,4,3,5,6,4,3,9,4,5,5,7,4,11
%N Number of non-isomorphic connected cubic cyclic Haar graphs of girth 6 on 2n vertices.
%C a(n) is also the number of connected cyclic configurations of type (n_3)
%C Sequence A098822 counts all cyclic configurations of type (n_3), while the present sequence counts only those that are connected.
%H N. Bašić, J. Grošelj, B. Grünbaum and T. Pisanski, <a href="https://doi.org/10.26493/1855-3974.1467.04b">Splittable and unsplittable graphs and configurations</a>, Ars Math. Contemp. 16 (2019), 1-17.
%H M. Petkovšek and T. Pisanski, <a href="https://hrcak.srce.hr/2545">Counting disconnected structures: chemical trees, fullerenes, I-graphs and others</a>, Croatica Chem. Acta 78 (2005), 563-567.
%Y Cf. A098822.
%K nonn,more
%O 3,10
%A _Nino Basic_, Dec 07 2020
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