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SEMINARS
Combinatorics of integer compositions
时间  Datetime
2018-06-08 09:00 — 10:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Hua Wang
单位  Affiliation
Georgia Southern University
邀请人  Host
张晓东
报告摘要  Abstract

Starting from a simple observation on the number of odd parts and some subword patterns in all compositions of a given integer, we explore the combinatorics related the enumeration of patterns and parts under modulo conditions. We then extend this study to colored compositions and cyclic compositions. Through generating functions we are able to provide counting sequences of various questions. Combinatorial proofs are also provided for some of these observations.