On Partitions and k¡Polygons

Takuya Doi, Shin-ichi Katayama · 2010

Let C be a circle divided into n parts equally. The set of the ends of these parts on C are denoted by S = fP0;P1;:::;Pni1g. Let Ck(n) be the number of incongruent kipolygons inscribed in C, where the vertices of kipolygons are chosen from S. In this note, we shall investigate the generating functions of C4(n) and C5(n). 2000 Mathematics Subject Classification. Primary 05A17; Secondary 11P81

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