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General term formula of series 1/1 + 1/2 + 1/3 ... +1/n

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#sequences-and-series #algebra-precalculus #recurrence-relations #recreational-mathematics
92
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Recurrence relation for the coefficients of the polynomial $p_n(x) = \prod_{i=0}^{n-1}(x-i)$

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#polynomials #recurrence-relations #matlab #products
60
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How to solve $T(n)=\frac2n\sum_{i=1}^{n-1}T(i)+\Theta(n)$

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#proof-writing #recurrence-relations #recursion
73
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How to prove that if $T(n)=\max_{1\le q \le n-1}(T(q)+T(n-q))+\Theta(n)$ then $T(n)=O(n^2)$

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#proof-writing #recurrence-relations #recursion
69
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Recursive definition proof

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#proof-writing #recurrence-relations
66
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Ways to fill a $4\times N$ box

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#combinatorics #recurrence-relations
126
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Finding a more explicit way to express a coefficient in this summation

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#sequences-and-series #summation #recurrence-relations
827
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How to find explicit formula using backwards iteration

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#recurrence-relations #recursion
134
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Minimizing beginning terms of a Fibonacci-like sequence

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#sequences-and-series #recurrence-relations
132
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A Difficult Recursive Equation

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#combinatorics #recurrence-relations #generating-functions #recursive-algorithms
88
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Solution to recursion equation: $ T(n) = T(n-1) *T(n-2) $ with $T(1) = a$, $T(2) = b$

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#recurrence-relations #recursion
131
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Another quick induction question for a recursively defined sequence (with closed form formula given)

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#discrete-mathematics #induction #recurrence-relations
521
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Prove the summation involving Stirling numbers of the first kind

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#sequences-and-series #summation #recurrence-relations #stirling-numbers
86
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Recursive identity for elliptic lattice constants $\sum_{\lambda\in\Lambda\setminus0} \lambda^{-2k}$

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#ordinary-differential-equations #recurrence-relations #modular-forms #elliptic-functions
348
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Solving a 2 independent variables (2nd degree) recurrence relation

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#functions #recurrence-relations #generating-functions #closed-form

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