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Find the first coefficients of the inverse series of $x+x^2\sqrt{1+x}$

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#generating-functions
51
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Don't understand why this generating function needs to be taken to the power $-1$

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#discrete-mathematics #generating-functions #functional-equations
37
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Using generating function determine $u_n$

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#generating-functions
96
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Nonstandard exponential generating functions

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#generating-functions
89
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Ways of choosing $n$ objects out of $3n$ objects

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#combinatorics #generating-functions
153
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Tilings of 1*n rectangle.

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#combinatorics #generating-functions #tiling
24
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Where is my error in using generating functions to solve this recurrence relation?

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#recurrence-relations #generating-functions
82
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If $\chi$ is even, why is $B_{n,\chi\omega^{-n}}$ nonzero?

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#generating-functions #p-adic-number-theory #bernoulli-numbers #cyclotomic-fields
364
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Generating function for non-isomorphic regular graphs.

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#graph-theory #generating-functions
269
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The asymptotics of a recursion

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#complex-analysis #ordinary-differential-equations #asymptotics #generating-functions
278
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Exponential generating function for strings of length n with a constraint

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#combinatorics #generating-functions
627
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Exponential generating function to count strings

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#combinatorics #generating-functions
1.4k
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How to find a sequence of a given generating function

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#generating-functions
55
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Using Generating Functions to solve Recurrence Relation

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#combinatorics #recurrence-relations #generating-functions
62
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How to get a closed-form for this sum?

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#discrete-mathematics #generating-functions

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