A104596 Number of unrooted maps with n edges of (orientable) genus 3.

131, 8158, 313611, 9326858, 236095958, 5345316004, 111472798586, 2182345314816, 40634231364914, 726322104184848, 12550075287918360, 210738250570954064, 3453173212810875280, 55399287587418128520, 872492296405529104608, 13518993329700676078500, 206464663769623968602698

Offset

6,1

Links

T. D. Noe, Table of n, a(n) for n=6..30 (from Mednykh and Nedela)

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. - From N. J. A. Sloane, Aug 01 2012

Crossrefs

Column k=3 of A379438.

Cf. A104742 (rooted), A214815 (unsensed).

Cf. A006386, A104595 (genus 2), A215019 (genus 4).

Sequence in context: A161197 A254641 A322881 * A091743 A066621 A239252

Adjacent sequences: A104593 A104594 A104595 * A104597 A104598 A104599

Keyword

nonn,changed

Author

Valery A. Liskovets, Mar 22 2005

Status

approved