venkatachala2. 138KB Jun 04 2011 12:09:40 AM
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These appear to be new expressions for the MacMahon and Eulerian numbers, in terms of Stirling numbers of the second kind.. 5.2
The fourth column gives the number of rationals in the image of the abundancy index of the first one million natural numbers with numerators less than or equal to n. The fifth
A sequence of non-negative integers is exactly realizable as the fixed point counts sequence of a dynamical system if and only if it gives rise to a sequence of non-negative
In this note it is shown how several other types of binary relations can be counted, based on an explicit enumeration of the partial orders and their automorphism groups..
In this note, we consider partitions of n with parts related to k -gonal numbers for some fixed integer k ≥ 3.. Various works have appeared involving partitions into
For a number of scheduling problems it is possible to establish that an optimal sequence of jobs possesses the V-shaped property, e.g., the elements of the input sequence of
In Section 4 , the notions of filling and degree of a Dyck path are introduced and studied. Various enumeration results are presented. These notions are used in Section 5 for
In the dependent case, the limit N may not be a Poisson process, but belongs to the class of infinitely divisible point processes (under generally weak assumptions).. This
