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A347951 a(n) = number of maximal chord diagrams by genus d^(||)_2n. 0
1, 5, 41, 509, 8229, 166377, 4016613, 113044185, 3630535785, 131095612845, 5256401729985, 231748716159765, 11142710564597325, 580259659715478225, 32535080119520689725 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
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.
FORMULA
Ledoux's article gives a five-term recurrence for related polynomials.
CROSSREFS
Sequence in context: A056545 A362111 A325888 * A275787 A009755 A000685
KEYWORD
nonn,more
AUTHOR
Michael De Vlieger, Nov 02 2021
STATUS
approved

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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)