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Generating function, recurrence with sum

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#sequences-and-series #combinatorics #summation #recurrence-relations #generating-functions
31
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Find the number of sequences with 6 letters from the set {, , , }, where appears an even number, and appears an odd number of times.

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#combinatorics #generating-functions
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A particular linear recurrence relation

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#recurrence-relations #generating-functions
67
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Distribute balls in bins with extreme hard conditions

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#combinatorics #permutations #contest-math #generating-functions #balls-in-bins
68
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Using generating functions to simplify a recursive solution

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#generating-functions #recursion
406
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Generating function for the number of walks in a graph

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#combinatorics #graph-theory #generating-functions #integer-sequences
201
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North-East lattice path exceeding threshold

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#combinatorics #recurrence-relations #generating-functions
162
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Doubts in $ \sum_{k=1}^{\infty}\frac{A^k(z)}{k}=\ln\left(\frac{1}{1-A(z)}\right) $

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#definite-integrals #generating-functions #analytic-combinatorics
53
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Finding all set partitions where the elements in each part are restricted to specific subsets of the set.

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#combinatorics #discrete-mathematics #generating-functions #set-partition
226
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Why does $(1 + x)(1 + x^2)(1 + x^4)(1+x^8) \cdots = 1 + x + x^2 + x^3 + \cdots$?

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#sequences-and-series #generating-functions #binary #infinite-product
58
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Generating Function for Bivariate Legendre Polynomials?

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#generating-functions #legendre-polynomials
125
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Number of ways of organising objects (which are in distinct groups) in a line with constraints on segments.

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#sequences-and-series #combinatorics #permutations #generating-functions #inclusion-exclusion
492
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Finding the Coefficient for a Generating Function

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#combinatorics #generating-functions
109
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Finding the coefficient of a generating function $f$

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#combinatorics #binomial-coefficients #generating-functions
62
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Calculating Coefficents of a single variable polynomial

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#probability #polynomials #generating-functions #roots-of-unity #multinomial-coefficients

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