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A symmetrical die is thrown independently 7 times, what is the probability that the sum of the faces is 14?

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#probability #generating-functions #dice
240
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Number of ways to represent $100$ as a sum of $1, 5, 10, 25$

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#combinatorics #generating-functions #analytic-combinatorics
72
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Generating function approach on relatively easy problem

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#combinatorics #generating-functions
202
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Generating function for sequence $a_i={n+im-1 \choose im}$

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#combinatorics #generating-functions #multisets
996
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Using Snake Oil Method to Evaluate Sum

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#combinatorics #summation #generating-functions
361
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Compute the number of n-tuples that contains odd numbers of 0's and 1's, using generating function

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#combinatorics #discrete-mathematics #generating-functions
104
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Expected number of characters for monkey to type ABCDAE - Using generating functions

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#probability #combinatorics #markov-chains #generating-functions
75
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Need help understanding this text regarding Taylor series expansion

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#discrete-mathematics #taylor-expansion #generating-functions
693
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Total number of leaves binary tree with n internal nodes

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#combinatorics #generating-functions #trees #catalan-numbers
208
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Finding $\mathbb{E}(s^T)$ for simple symmetric random walk on $\mathbb{Z}$

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#probability #markov-chains #generating-functions #random-walk
237
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Why $1/(1-x) \neq 1/(-x+1)$ in long division for generating functions?

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#power-series #generating-functions
50
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How to intuitively see that Generating function for not more than $k$ objects given by : $\frac{1-x^{k+1}}{1-x}$

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#generating-functions
54
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Use generating functions to find $a_{n}$

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#sequences-and-series #generating-functions
584
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Recurrences for even and odd indexed of Fibonacci Numbers

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#combinatorics #discrete-mathematics #generating-functions #fibonacci-numbers
275
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Complex generating function for Legendre polynomials

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#sequences-and-series #convergence-divergence #generating-functions #orthogonal-polynomials #legendre-polynomials

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