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Number of unsensed genus 3 maps with n edges.
11

%I #26 Jan 26 2025 23:50:10

%S 0,0,0,0,0,0,82,4348,160050,4696504,118353618,2675297588,55758114082,

%T 1091344752470,20318440463052,363171011546210,6275111078422480,

%U 105369657960443204,1726590417107274316,27699670730854989616,436246336648672487876

%N Number of unsensed genus 3 maps with n edges.

%H Evgeniy Krasko and Alexander Omelchenko, <a href="https://arxiv.org/abs/1712.10139">Enumeration of Unsensed Orientable Maps on Surfaces of a Given Genus</a>, arXiv:1712.10139 [math.CO], 2017.

%H Timothy R. Walsh, <a href="http://www.info2.uqam.ca/~walsh_t/papers/GENERATING NONISOMORPHIC.pdf">Space-efficient generation of nonisomorphic maps and hypermaps</a>.

%H T. R. Walsh, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Walsh/walsh3.html">Space-Efficient Generation of Nonisomorphic Maps and Hypermaps</a>, J. Int. Seq. 18 (2015) # 15.4.3

%Y Column k=3 of A379439.

%Y Cf. A104742 (rooted), A104596 (sensed).

%Y Cf. A006385, A006387, A214814, A214816.

%K nonn

%O 0,7

%A _N. J. A. Sloane_, Jul 31 2012

%E More terms from _Evgeniy Krasko_, Sep 17 2017