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Asymptotic approximation for the r-associated Stirling numbers of the second kind

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#asymptotics #generating-functions #stirling-numbers
487
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An asymptotic term for a finite sum involving Stirling numbers

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#real-analysis #sequences-and-series #asymptotics #stirling-numbers
253
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Generalization for Stirling numbers 2nd kind to negative column-indexes?

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#number-theory #reference-request #stirling-numbers #infinitesimals
1.2k
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Stirling numbers and harmonic number identities

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#stirling-numbers #harmonic-numbers
428
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Prove the identity involving summation and Stirling numbers of the second kind

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#summation #stirling-numbers
669
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Proving combinatorial identity with the product of Stirling numbers of the first and second kinds

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#combinatorics #factorial #stirling-numbers
375
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Stirling numbers and Power Group Enumeration

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#group-theory #reference-request #generating-functions #stirling-numbers
104
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Does $\sum_{i = 1}^n S(k, i)i! = n^k$?

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#combinatorics #stirling-numbers
335
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Partial sums of Nicomachus' Triangle rows produce Stirling numbers of the 2nd kind?

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#integer-partitions #stirling-numbers #experimental-mathematics
109
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Total no. of partitions of $A$ using stirling no. of $2^{\text{nd}}$ kind

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#combinatorics #stirling-numbers
1.3k
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Combinatorial proof of an identity of Stirling number of first kind

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#combinatorics #combinatorial-proofs #stirling-numbers
184
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Estimating the behavior for large $n$

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#asymptotics #power-series #exponential-function #approximation #stirling-numbers
178
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Maximizing Stirling numbers of the second kind

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#combinatorics #stirling-numbers
66
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Stirling numbers of the second kind -- a series-expansion typo?

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#sequences-and-series #combinatorics #generating-functions #stirling-numbers
274
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Primality of Stirling numbers of second kind (again)

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#combinatorics #prime-numbers #stirling-numbers #experimental-mathematics

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