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Generating function coefficient

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#generating-functions
81
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Solving recurrence by using an exponential generating function

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#combinatorics #recurrence-relations #generating-functions
87
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Number of terms that does not contain single powers in a multivariable binomial expansion

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#combinatorics #generating-functions #inclusion-exclusion #combinatorics-on-words
243
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Why guess-solution to linear recurrence relation is exponential?

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#discrete-mathematics #recurrence-relations #self-learning #generating-functions
236
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1991 IMO shortlist problem $\#11$

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#combinatorics #contest-math #binomial-coefficients #generating-functions
615
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Generating function of composition with odd part fixed

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#combinatorics #generating-functions #integer-partitions
44
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How to evaluate $(a_0+a_1+a_3+a_4+a_5..)/(a_2+a_5+a_8... )$ from $ (1+x+x^2)^n$?

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#complex-numbers #binomial-coefficients #generating-functions
105
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$f(m, n) = f(m-1, n) + f(m, n-1) + f(m-1, n-1)$ show that $\sum_{n=0}^{\infty} f(n, n) x^n = \frac{1}{\sqrt{1 - 6x + x^2}}$

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#combinatorics #contest-math #generating-functions
42
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Expressing $\frac{1+x+x^2}{1-x^7}$ as a closed form for the $n^{th}$ term of the associated sequence

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#combinatorics #generating-functions
51
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Is the series $\sum_1^\infty \frac{q^n}{1+q^{2n}}$ the generating function of the sequence A002654?

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#generating-functions
91
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finding a general expression to the inequality $x_1+x_2+x_3+x_4\leq n$ with generating function

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#combinatorics #generating-functions #integer-partitions
23
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self ref function and its generating function

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#generating-functions
47
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how does star work in combinatronics?

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#combinatorics #generating-functions #regular-expressions
229
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Unambigious expression for ternary strings

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#combinatorics #generating-functions #regular-expressions
22
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Power series and power expansion with absolute convergence.

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#power-series #generating-functions #absolute-convergence

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