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

Author

Valery A. Liskovets, Mar 22 2005

Keywords

• nonn

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).