A348813 a(n) = number of chord labeled loopless diagrams by number of K_3.

0, 1, 22, 1415, 140343, 20167651, 3980871156, 1035707510307, 343866839138005, 141979144588872613, 71386289535825383386, 42954342000612934599071, 30482693813120122213093587, 25196997894058490607106028095, 24001522306527907199721466108488, 26102037346800387738363882455862531

Offset

1,3

Links

Andrew Howroyd, Table of n, a(n) for n = 1..200

Evgeniy Krasko, Igor Labutin, and Alexander Omelchenko, Enumeration of Labelled and Unlabelled Hamiltonian Cycles in Complete k-partite Graphs, arXiv:1709.03218 [math.CO], 2017. See Appendix Table 2.

Crossrefs

Row 3 of A369923.

Cf. A190826, A348814, A292409; A003436, A348815, A348818, A348821.

Sequence in context: A038695 A160259 A055475 * A160309 A367369 A033526

Adjacent sequences: A348810 A348811 A348812 * A348814 A348815 A348816

Keyword

nonn

Author

Michael De Vlieger, Nov 01 2021

Extensions

a(14) onwards from Andrew Howroyd, Feb 05 2024

Status

approved