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A374946
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a(n) is the number of suitably connected Legendrian n-mosaics that form a Legendrian knot.
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7
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OFFSET
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1,3
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COMMENTS
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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.
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LINKS
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EXAMPLE
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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.
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PROG
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(Python, Rust) //See Margaret Kipe Links
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CROSSREFS
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KEYWORD
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nonn,hard,more,new
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AUTHOR
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STATUS
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approved
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