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15
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Distribution of items among two people, from PSS by Arthur Engel.

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#combinatorics #contest-math #generating-functions
85
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Generalize partial sum of a multivariate generating sequence

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#combinatorics #generating-functions
181
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Is there a general formula to prove the equivalency of these two expansions of $~\dfrac{1}{(1-x)^2}~$?

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#power-series #binomial-coefficients #generating-functions
32
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Need help with calculating asymptote equation

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#functions #asymptotics #graphing-functions #generating-functions
119
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How to prove $[x^n]C^m(n)=\binom{2n+m-1}{n}-\binom{2n+m-1}{n-1}$

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#sequences-and-series #combinatorics #analysis #generating-functions #hypergeometric-function
553
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"Generalised eigenvectors" $Ax=\lambda Bx$ Proof of B-orthogonality?

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#linear-algebra #eigenvalues-eigenvectors #generating-functions
331
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Solving recurrence relation of two series with generating functions

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#sequences-and-series #recurrence-relations #generating-functions #recursion
844
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Number of compositions of n into odd parts

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#combinatorics #generating-functions #analytic-combinatorics
80
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Generating functions (with symbol method) of special partitions of natural numbers

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#combinatorics #generating-functions #integer-partitions #analytic-combinatorics
1.6k
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A group of important generating functions involving harmonic number.

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#integration #sequences-and-series #generating-functions #harmonic-numbers #polylogarithm
296
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Find coefficient of $x^2$

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#combinatorics #algebra-precalculus #generating-functions #products
86
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Finding exponential generating function of the family of specific trees using symbolic method

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#combinatorics #generating-functions #trees #permutation-cycles #analytic-combinatorics
83
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Find the coefficient of $x^{19}$ in the generating function of $f(x) = \frac{(1-x^{5})^5}{(1-x)^{10}}$

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#combinatorics #discrete-mathematics #proof-verification #generating-functions
126
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Generating and extending groups with GAP

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#abstract-algebra #group-theory #finite-groups #generating-functions #gap
90
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Find number of decimal representations with no consecutive $1$ and $2$

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#sequences-and-series #combinatorics #generating-functions

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