%I #22 Dec 23 2021 12:08:04
%S 0,1,1,3,2,7,5,12,10,19,16,29,24,42,35,59,48,79,69,100,86,133,112,165,
%T 144,205,176,251,214,299,265,360,305,429,375,488,436,581,495,677,582,
%U 758,679,869,749,1000,868,1101,989,1259,1076,1410,1228
%N Number of loopless ({1,2,3},6)-spheres with n vertices.
%C Equivalently, ({2,3},6)-spheres, or 6-regular planar graphs with digonal and trigonal faces only. - _Andrey Zabolotskiy_, Mar 22 2019
%H Andrey Zabolotskiy, <a href="/A215622/b215622.txt">Table of n, a(n) for n = 1..100</a>
%H Michel Deza and Mathieu Dutour Sikiric, <a href="https://doi.org/10.11650/twjm/1500406667">Zigzag and Central Circuit Structure of ({1,2,3},6)-spheres</a>, Taiwanese Journal of Mathematics, 16 (June 2012), No. 3, 913-940; see Table 1, p. 916.
%H Michel-Marie Deza, Mathieu Dutour Sikiric and Mikhail Ivanovitch Shtogrin, <a href="https://doi.org/10.1007/978-81-322-2449-5">Geometric Structure of Chemistry-Relevant Graphs</a>, Springer, 2015; see p. 107.
%Y Cf. A088534, A111361, A167227, A210146.
%K nonn
%O 1,4
%A _Jonathan Vos Post_, Aug 17 2012