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15
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Generating function of $2^ {n \choose 2}$

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#combinatorics #generating-functions
61
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Partition Generating Function and Euler Transform

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#generating-functions #transformation #integer-partitions
399
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Find the generating function for $ a_n = n^4$ .

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#combinatorics #discrete-mathematics #generating-functions
93
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Why this recursion is the same as OEIS sequence A005252

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#combinatorics #recurrence-relations #generating-functions #closed-form
105
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Exponential Sums

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#combinatorics #summation #generating-functions
127
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Efficient Evaluation of the Expression

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#algorithms #contest-math #generating-functions #computational-complexity
931
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Generating functions and a closed form for the Fibonacci sequence - the big picture

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#discrete-mathematics #generating-functions #fibonacci-numbers
773
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Finding the the number of Lattice paths with three steps.

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#combinatorics #recurrence-relations #generating-functions #catalan-numbers
211
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Recurring Sequence with Exponent

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#discrete-mathematics #recurrence-relations #generating-functions #recursion
133
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A unique question in combinatorics and non-commutative variables.

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#combinatorics #recurrence-relations #combinations #binomial-coefficients #generating-functions
64
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Efficient Computation of the expression

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#number-theory #contest-math #generating-functions #computational-complexity
580
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Confusion regarding inverse of formal Laurent series

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#abstract-algebra #discrete-mathematics #generating-functions #laurent-series #formal-power-series
101
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Continued Fraction for $\log(\frac{1+\alpha z}{1+z})$

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#generating-functions #continued-fractions
67
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Can the Fibonacci sum $\sum_{i=0}^N x^i F_{a+ib}$, for integers $x$, $a$, $b$, be determined by a direct formula or generating function?

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#sequences-and-series #summation #generating-functions #fibonacci-numbers #golden-ratio
391
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Prove the generating function for the Bessel function.

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#generating-functions #bessel-functions

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