THE STUDY TO THE PRODUCT SUMMATION OF ORDERED PARTITIONS
2005
By studying the j-degree product summation k ordered partitions of n and the homogeneous(r-degree) product summation k ordered partitions of n,the explicit result of the jdegree product summation k ordered partitions of n and some special homogeneous(r-)degree product summation k ordered partitions of n are obtained by induction.Moreover,the relation between the j-degree product summation k ordered partitions of n and the Fibonacci numbers,the Lucas numbers is discussed.A new explanation to the Fibonacci numbers is obtained.
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