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This note is a response to one of problems posed by A.K. Kwasniewski in oneof his recent papers. Namely for the sequence of finite cobweb subposets, thelooked for explicit formulas for corresponding sequence of characteristicpolynomials are discovered and delivered here. The recurrence relation definingarbitrary family of charactristic polynomials of finite cobweb posets is alsoderived.

On Characteristic Polynomials of the Family of Cobweb Posets