A348815 a(n) = number of chord labeled loopless diagrams by number of K_4.

0, 1, 134, 75843, 83002866, 158861646466, 490294453324924, 2292204611710892971, 15459367618357013402267, 144663877588996810362218074, 1819753109993633276315632934129, 29976383544377113242613349012354566, 632574848906117234957565158900144038734

Offset

1,3

Links

Andrew Howroyd, Table of n, a(n) for n = 1..150

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 3.

Crossrefs

Row 4 of A369923.

Cf. A190830, A348816, A348817; A003436, A348813, A348818, A348821.

Sequence in context: A370162 A007251 A219443 * A230699 A374536 A371307

Adjacent sequences: A348812 A348813 A348814 * A348816 A348817 A348818

Keyword

nonn

Author

Michael De Vlieger, Nov 01 2021

Extensions

a(11) onwards from Andrew Howroyd, Feb 05 2024

Status

approved