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For integer partitions, why does $e(n)-o(n)=k(n)$?

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#combinatorics #generating-functions #integer-partitions
745
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Generating function identity from number of irreducible monic polynomials in $\mathbf{GF}(q)$.

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#combinatorics #generating-functions #finite-fields
425
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Recurrence for perfect matchings revisited.

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#combinatorics #recurrence-relations #generating-functions
1.7k
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Partition function without repetitions of parts and largest part $k$

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#combinatorics #discrete-mathematics #generating-functions #integer-partitions
713
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Generating function of multiset cycles?

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#abstract-algebra #combinatorics #generating-functions #multisets
2.8k
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geometric series and generating functions

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#sequences-and-series #generating-functions
159
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From generating functions to recurrence

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#combinatorics #generating-functions
256
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From problem to generating functions

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#combinatorics #generating-functions
96
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Generating Function equation

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#combinatorics #generating-functions
160
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Recurrence $C_n(t)=t(1-t)C'_{n-1}(t)+ntC_{n-1}(t)$ for Eulerian Polynomials?

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#combinatorics #polynomials #generating-functions #eulerian-numbers
267
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Taking logarithm of a generating function identity.

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#combinatorics #generating-functions
226
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Identity of generating function of weights of multiset cycles.

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#abstract-algebra #combinatorics #generating-functions #multisets
773
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A nicer recurrence for the Eulerian polynomials.

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#combinatorics #polynomials #recurrence-relations #generating-functions #eulerian-numbers
411
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Generating function of shifted Catalan Numbers

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#generating-functions #catalan-numbers
212
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Asymptotics of shifted Catalan numbers

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#generating-functions #catalan-numbers

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