Kan. Stat. § 12-10a04
At the first regular city election following the adoption of the provisions of this act by the electors of the city, the member of the council elected at large receiving the greatest number of votes shall hold office for a term of four (4) years and the other two (2) members of the council elected at large shall hold office for terms of two (2) years. Of the members of the council elected by districts, those members elected from districts 1 and 3 shall hold office for terms of four (4) years and those members elected from districts 2 and 4 shall hold office for terms of two (2) years. The mayor shall hold office for a term of four (4) years. At all subsequent city elections the term for mayor and members of the council shall be for four (4) years and until their successors have been duly elected and qualified.
Whenever there is a vacancy in the office of mayor, the president of the council, upon being qualified, shall become mayor until the next city general election and a mayor has been duly elected for the unexpired term and has qualified or a mayor has been duly elected for a full term and has qualified, as the case may be. Whenever the president of the council becomes mayor there shall be a vacancy in the council. A vacancy in the office of council member shall be filled by the council until the next city general election and a member of the council has been duly elected for the unexpired term and has qualified or a member of the council has been duly elected for a full term and has qualified, as the case may be.
K.S.A. 12-10a04