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

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

Offset: 1

Author

Michael De Vlieger, Nov 02 2021

Keywords

• nonn
• more

Comments

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

Links

• 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.

Crossrefs

Cf. A291172, A291371, A292111, A035319.

Formula

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