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Number of equivalence classes of convex lattice polygons of genus n, restricting the count to those polygons that are interior to another polygon.
4

%I #15 Jan 02 2025 09:33:54

%S 16,22,63,78,122,192,239,316,508,509,700,1044,1113,1429,2052,1962,

%T 2651,3543,3638,4594,5996,6364,7922,9692,10208,12727,15431,15918,

%U 20354,23873,24677,31593,36529,37302,46034,54454,56278,67020,79606,82549,98188,113752

%N Number of equivalence classes of convex lattice polygons of genus n, restricting the count to those polygons that are interior to another polygon.

%C See Castryck article for an explanation how to check if a polygon is interior to another polygon by application of theorem 5 (Koelman 1991).

%D See A322343.

%H Justus Springer, <a href="/A322344/b322344.txt">Table of n, a(n) for n = 1..60</a>

%H Wouter Castryck, <a href="https://doi.org/10.1007/s00454-011-9376-2">Moving Out the Edges of a Lattice Polygon</a>, Discrete Comput. Geom., 47 (2012), p. 496-518, Column N(1) in Table 1, p 512.

%H Justus Springer, <a href="https://github.com/justus-springer/RationalPolygons.jl">RationalPolygons.jl (Version 1.0.0) [Computer software]</a>, 2024.

%Y Cf. A322343.

%K nonn

%O 1,1

%A _Hugo Pfoertner_, Dec 04 2018

%E a(24) and a(30) corrected, a(31) onwards added by _Justus Springer_, Oct 26 2024