%I #13 Feb 06 2024 00:47:59
%S 0,1,22,1415,140343,20167651,3980871156,1035707510307,343866839138005,
%T 141979144588872613,71386289535825383386,42954342000612934599071,
%U 30482693813120122213093587,25196997894058490607106028095,24001522306527907199721466108488,26102037346800387738363882455862531
%N a(n) = number of chord labeled loopless diagrams by number of K_3.
%H Andrew Howroyd, <a href="/A348813/b348813.txt">Table of n, a(n) for n = 1..200</a>
%H Evgeniy Krasko, Igor Labutin, and Alexander Omelchenko, <a href="https://arxiv.org/abs/1709.03218">Enumeration of Labelled and Unlabelled Hamiltonian Cycles in Complete k-partite Graphs</a>, arXiv:1709.03218 [math.CO], 2017. See Appendix Table 2.
%Y Row 3 of A369923.
%Y Cf. A190826, A348814, A292409; A003436, A348815, A348818, A348821.
%K nonn
%O 1,3
%A _Michael De Vlieger_, Nov 01 2021
%E a(14) onwards from _Andrew Howroyd_, Feb 05 2024