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%I #12 Aug 09 2024 08:03:06
%S 0,1,17,793,275557,831699598
%N a(n) is the number of suitably connected Legendrian n-mosaics that form a Legendrian knot.
%C A Legendrian n-mosaic is an n X n array of the 10 tiles given in Figure 5 of Pezzimenti and Pandey. These tiles represent part of a Legendrian curve in the front projection. A Legendrian n-mosaic is suitably connected if the connection points of each tile coincide with those of the contiguous tiles.
%H Margaret Kipe, <a href="/A374946/a374946.py.txt">Python</a>
%H Margaret Kipe, <a href="/A374946/a374946.rs.txt">Rust</a>
%H S. Pezzimenti and A. Pandey, <a href="https://doi.org/10.1142/S021821652250002X">Geography of Legendrian knot mosaics</a>, Journal of Knot Theory and its Ramifications, 31 (2022), article no. 2250002, 1-22.
%e For n = 2 there is exactly a(2) = 1 Legendrian 2-mosaic forming the front projection of a Legendrian knot, namely the Legendrian unknot with maximal Thurston-Bennequin invariant.
%o (Python, Rust) //See Margaret Kipe Links
%Y Cf. A374947, A374945, A374944, A374943, A374942, A374939.
%K nonn,hard,more
%O 1,3
%A _Margaret Kipe_, _Samantha Pezzimenti_, _Leif Schaumann_, _Luc Ta_, _Wing Hong Tony Wong_, Jul 24 2024
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