A348816 -id:A348816 - cp's OEIS frontend

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

Michael De Vlieger, Nov 01 2021

nonn

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.

Row 4 of A369923.

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

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

A348819 a(n) = number of loopless diagrams by number of K_5 up to rotational symmetry.

Original entry on oeis.org

0, 1, 60, 222477, 2211192688, 48357603758012, 2059392303708166507, 155876203880714141444480

Offset: 1

Michael De Vlieger, Nov 01 2021

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 4.

Cf. A190833, A348818, A348820; A007474, A348814, A348816, A348822.

A348822 a(n) = number of loopless diagrams by number of K_6 up to rotational symmetry.

Original entry on oeis.org

0, 1, 335, 11508322, 1324603148183, 404760320241653655, 282780723811372935744420

Offset: 1

Michael De Vlieger, Nov 01 2021

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 5.

Cf. A190835, A348821, A348823; A007474, A348814, A348816, A348819.

A348814 a(n) = number of loopless diagrams by number of K_3 up to rotational symmetry.

Original entry on oeis.org

0, 1, 4, 126, 9367, 1120780, 189565588, 43154533233, 12735808866899, 4732638168795171, 2163220895025390670, 1193176166690983987122, 781607533669746761791541

Offset: 1

Michael De Vlieger, Nov 01 2021

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.

Cf. A190826, A292409, A348813; A007474, A348816, A348819, A348822.

A348817 a(n) = number of loopless diagrams by number of K_4 up to all symmetries.

Original entry on oeis.org

0, 1, 13, 2576, 2081393, 3309962320, 8755277273334, 35815698613833466, 214713439275724149414, 1808298469877117320495867

Offset: 1

Michael De Vlieger, Nov 01 2021

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.

Cf. A190830, A348815, A348816; A003437, A292409, A348820, A348823.

cp's OEIS Frontend

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

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A348819 a(n) = number of loopless diagrams by number of K_5 up to rotational symmetry.

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A348822 a(n) = number of loopless diagrams by number of K_6 up to rotational symmetry.

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A348814 a(n) = number of loopless diagrams by number of K_3 up to rotational symmetry.

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A348817 a(n) = number of loopless diagrams by number of K_4 up to all symmetries.

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