Marko Riedel
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 18h comment How to calculate the sum $\sum_{i=0}^\infty i^nx^i$ This question recently appeared at this MSE link. 1d comment Prove summations are equal This was discussed at the following MSE link, which in fact points to two threads on this problem. 1d answered How to prove this complex binomial power series identity? 1d comment Circular arrangements of identical objects There are a number of examples of this type of necklace and bracelet at this MSE Meta link. 2d revised How to find a function that is the upper bound of this sum? golden ratio 2d revised How to find a function that is the upper bound of this sum? constant II 2d revised How to find a function that is the upper bound of this sum? constant and linkage 2d answered How to find a function that is the upper bound of this sum? 2d comment Polya theorem and necklaces The following list at MSE meta could prove useful reading. 2d comment Multiplication partitioning into k distinct elements The factorization is not a determining factor here, rather it is the coefficient extraction from the $5604$ terms in the cycle index $Z(P_{30})$. Fine-tuning this would appear to be a thesis type project involving a considerable effort of optimization and innovative coding. Apr25 revised Multiplication partitioning into k distinct elements fix typo Apr25 revised Multiplication partitioning into k distinct elements grammar Apr24 comment Multiplication partitioning into k distinct elements I will certainly upvote a functional contribution in another language that would then confirm the results from the above post assuming I have not made any mistakes. Apr24 comment Multiplication partitioning into k distinct elements Being a Linux user and programmer I strongly encourage translating these MAPLE routines for PET computations and making them available for anyone to use. (The link has contributions from a number of users.) Apr24 revised Multiplication partitioning into k distinct elements comparison with brute-force Apr24 revised Multiplication partitioning into k distinct elements pointer Apr24 revised Multiplication partitioning into k distinct elements distinct factors, code Apr24 revised Multiplication partitioning into k distinct elements distinct factors Apr24 answered Multiplication partitioning into k distinct elements Apr23 comment Compute the sum $\sum_{k=1}^{\infty}k^mz^k$ where $|z|<1$ I guess it will surprise no one that I prefer using the species equation as documented below. ;-) Unfortunately I lost a few minutes on the contour integral.