A215019 Number of unrooted maps with n edges of (orientable) genus 4.

14118, 1369446, 74803564, 3023693380, 100692692173, 2922359760376, 76471600288836, 1845089145736960, 41694584320696782, 892580319444417876, 18258463136626650660, 359279139700128276168, 6836732826365623258492, 126347598971804884131800, 2275643837092089686415858

Offset

8,1

Links

Andrew Howroyd, Table of n, a(n) for n = 8..45

Alexander Mednykh, Alain Giorgetti, Enumeration of genus four maps by number of edges. Ars Mathematica Contemporanea 4 (2011), 351-361. MR2842107

A. D. Mednykh and R. Nedela, Enumeration of unrooted maps with given genus, preprint (submitted to J. Combin. Th. B).

Timothy R. S. Walsh, Alain Giorgetti, Alexander Mednykh, Enumeration of unrooted orientable maps of arbitrary genus by number of edges and vertices. Discrete Math. 312 (2012), no. 17, 2660--2671. MR2935417

Crossrefs

Column k=4 of A379438.

Cf. A215402 (rooted), A297880 (unsensed).

Cf. A006386, A104595, A104596 (genus 3), A239918 (genus 5), A239919 (genus 6).

Sequence in context: A157786 A186834 A263911 * A206845 A206837 A206899

Adjacent sequences: A215016 A215017 A215018 * A215020 A215021 A215022

Keyword

nonn

Author

N. J. A. Sloane, Aug 01 2012

Extensions

a(12) onwards added by Andrew Howroyd, Jan 18 2025

Status

approved