%I #46 Mar 14 2023 09:36:25
%S 1,5,41,509,8229,166377,4016613,113044185,3630535785,131095612845,
%T 5256401729985,231748716159765,11142710564597325,580259659715478225,
%U 32535080119520689725
%N a(n) = number of maximal chord diagrams by genus d^(||)_2n.
%C Also, number of rooted maps with one face, one vertex and n edges on both orientable and non-orientable surfaces.
%H Evgeniy Krasko, <a href="https://arxiv.org/abs/1709.00796">Counting Unlabelled Chord Diagrams of Maximal Genus</a>, arXiv:1709.00796 [math.CO], 2017. See Appendix Table 1.
%H M. Ledoux, <a href="https://doi.org/10.1214/08-AIHP184">A recursion formula for the moments of the Gaussian orthogonal ensemble</a>, Annales de l’Institut Henri Poincaré - Probabilités et Statistiques, 2009, Vol. 45, No. 3, 754-769.
%F Ledoux's article gives a five-term recurrence for related polynomials.
%Y Cf. A291172, A291371, A292111, A035319.
%K nonn,more
%O 1,2
%A _Michael De Vlieger_, Nov 02 2021