A215019 - OEIS

%I #27 Jan 18 2025 19:31:11

%S 14118,1369446,74803564,3023693380,100692692173,2922359760376,

%T 76471600288836,1845089145736960,41694584320696782,892580319444417876,

%U 18258463136626650660,359279139700128276168,6836732826365623258492,126347598971804884131800,2275643837092089686415858

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

%H Andrew Howroyd, <a href="/A215019/b215019.txt">Table of n, a(n) for n = 8..45</a>

%H Alexander Mednykh, Alain Giorgetti, Enumeration of genus four maps by number of edges. Ars Mathematica Contemporanea 4 (2011), 351-361. <a href="http://www.ams.org/mathscinet-getitem?mr=2842107">MR2842107</a>

%H A. D. Mednykh and R. Nedela, <a href="http://www.savbb.sk/mu/articles/4_2004_nedela.pdf">Enumeration of unrooted maps with given genus</a>, preprint (submitted to J. Combin. Th. B).

%H 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. <a href="http://www.ams.org/mathscinet-getitem?mr=2935417">MR2935417</a>

%Y Column k=4 of A379438.

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

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

%K nonn

%O 8,1

%A _N. J. A. Sloane_, Aug 01 2012

%E a(12) onwards added by _Andrew Howroyd_, Jan 18 2025