A104595 Number of unrooted maps with n edges of (orientable) genus 2.

4, 106, 2382, 46680, 830848, 13804864, 218353000, 3328822880, 49325772812, 714586880940, 10164338225482, 142403410942816, 1969831979334086, 26954132420126920, 365393525753591368, 4913176199287631232, 65593569635906036912, 870192550284377429780, 11479539192932030062066

Offset

4,1

Links

T. D. Noe, Table of n, a(n) for n=4..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=2 of A379438.

Cf. A006301 (rooted), A214814 (unsensed).

Cf. A006386, A104595, A104596, A215019.

Sequence in context: A171117 A203313 A087178 * A356201 A222930 A221187

Adjacent sequences: A104592 A104593 A104594 * A104596 A104597 A104598

Keyword

nonn,changed

Author

Valery A. Liskovets, Mar 22 2005

Status

approved