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A215622
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Number of loopless ({1,2,3},6)-spheres with n vertices.
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0
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0, 1, 1, 3, 2, 7, 5, 12, 10, 19, 16, 29, 24, 42, 35, 59, 48, 79, 69, 100, 86, 133, 112, 165, 144, 205, 176, 251, 214, 299, 265, 360, 305, 429, 375, 488, 436, 581, 495, 677, 582, 758, 679, 869, 749, 1000, 868, 1101, 989, 1259, 1076, 1410, 1228
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OFFSET
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1,4
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COMMENTS
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Equivalently, ({2,3},6)-spheres, or 6-regular planar graphs with digonal and trigonal faces only. - Andrey Zabolotskiy, Mar 22 2019
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LINKS
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Table of n, a(n) for n=1..53.
Michel Deza, Mathieu Dutour Sikiric, Zigzag and Central Circuit Structure of ({1,2,3},6)-spheres, Taiwanese Journal of Mathematics, 16 (June 2012), No. 3, 913-940; see Table 1, p. 916.
Michel-Marie Deza, Mathieu Dutour Sikiric, Mikhail Ivanovitch Shtogrin, Geometric Structure of Chemistry-Relevant Graphs, Springer, 2015; see p. 107.
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CROSSREFS
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Sequence in context: A073281 A130922 A263018 * A195820 A006921 A292204
Adjacent sequences: A215619 A215620 A215621 * A215623 A215624 A215625
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KEYWORD
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nonn
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AUTHOR
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Jonathan Vos Post, Aug 17 2012
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STATUS
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approved
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