Total number of different ways to fill m labeled boxes with balls which belong to the specifications provided by all the integer partitions [n] of n. Empty boxes are not allowed. Total number of possible preferential arrangements (or hierarchical orderings) of n elements if the elements may belong to c=1 up to c=n different classes (or specifications).

A137383

Total number of different ways to fill m labeled boxes with balls which belong to the specifications provided by all the integer partitions [n] of n. Empty boxes are not allowed. Total number of possible preferential arrangements (or hierarchical orderings) of n elements if the elements may belong to c=1 up to c=n different classes (or specifications).

Terms

    a(0) =1a(1) =5a(2) =25a(3) =173a(4) =20335a(5) =45999

External references