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Solving combinatoric problem with generating function

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#combinatorics #generating-functions
38
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Is there known generating function having this form: $\sum\frac{m-(i_1 + \ldots + i_k)}{i_1! \ldots i_k!} x_1^{i_1}\ldots x_k^{i_k}$?

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#summation #generating-functions
76
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Central limit theorem for Bernoulli$(1/k)$ random variables ($k\in\mathbb{N}$)

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#limits #probability-theory #generating-functions #central-limit-theorem
690
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Number of binary string with even length of 1s blocks.

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#combinatorics #proof-verification #generating-functions #regular-expressions
63
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Solve another recurrence using Generating Functions.

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#recurrence-relations #generating-functions
82
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Is the solution to the functional equation $\widehat{F}(z) = z\widehat{G}(\widehat{F}(z))$ unique?

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#combinatorics #generating-functions #trees #formal-power-series #lagrange-inversion
1.3k
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formula for the number of words with length n

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#combinatorics #generating-functions
371
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Generating function for kind of sum of Fibonacci numbers

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#generating-functions #fibonacci-numbers
2.4k
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Generating function for squared fibonacci numbers

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#generating-functions #fibonacci-numbers
553
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In how many ways can you divide bonuses between employees?

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#combinatorics #discrete-mathematics #generating-functions
40
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Generating Function - Understanding an expression.

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#generating-functions
144
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In how many ways $n$ balls can be divided into groups where each group may contain only one ball or two.

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#combinatorics #generating-functions
101
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Finding a generating function for a recursion

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#discrete-mathematics #generating-functions
44
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Generating Function Question - Infinite Series - Simple Question

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#generating-functions
65
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Calculate the $26$ term for the generating function.

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#discrete-mathematics #generating-functions

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