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

Author

N. J. A. Sloane, Aug 01 2012

Keywords

• nonn

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).

Extensions

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