A291371 -id:A291371 - cp's OEIS frontend

A292111 Reflective-symmetric maximal chord diagrams by genus, type II.

Original entry on oeis.org

1, 3, 25, 287, 4581, 90519, 2162901, 60249195, 1921751145, 68980179915, 2753007869745, 120897239789655

Offset: 1

N. J. A. Sloane, Sep 20 2017

Evgeniy Krasko, Counting Unlabelled Chord Diagrams of Maximal Genus, arXiv:1709.00796 [math.CO], 2017. See Table 1, column 3.

The other three sequences in Table 1 are A291172, A275787, A291371.

Name clarified by Evgeniy Krasko, Sep 30 2017

A347951 a(n) = number of maximal chord diagrams by genus d^(||)_2n.

Original entry on oeis.org

1, 5, 41, 509, 8229, 166377, 4016613, 113044185, 3630535785, 131095612845, 5256401729985, 231748716159765, 11142710564597325, 580259659715478225, 32535080119520689725

Offset: 1

Michael De Vlieger, Nov 02 2021

Also, number of rooted maps with one face, one vertex and n edges on both orientable and non-orientable surfaces.

Evgeniy Krasko, Counting Unlabelled Chord Diagrams of Maximal Genus, arXiv:1709.00796 [math.CO], 2017. See Appendix Table 1.
M. Ledoux, A recursion formula for the moments of the Gaussian orthogonal ensemble, Annales de l’Institut Henri Poincaré - Probabilités et Statistiques, 2009, Vol. 45, No. 3, 754-769.

Cf. A291172, A291371, A292111, A035319.

Ledoux's article gives a five-term recurrence for related polynomials.

cp's OEIS Frontend

A292111 Reflective-symmetric maximal chord diagrams by genus, type II.

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