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Generalized Josephus problem

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#algorithms #recurrence-relations #induction #recursive-algorithms
209
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Recurrence equation with upper and lower boundary condition

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#combinatorics #sequences-and-series #recurrence-relations
403
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Finding the general formula $a_n$ for $a_n = \frac{1}{2a_{n-1}} + 2a_{n-2}$

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#sequences-and-series #recurrence-relations
127
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Strong Mathematical Induction: Prove $3\mid b_n$ for a given recurrence relation $b_n$

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#induction #recurrence-relations
171
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How to solve linear recurrences consisting of both $x_n$ and $y_n$?

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#linear-algebra #recurrence-relations
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Solving recurrence equation using exponential generating functions

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#combinatorics #recurrence-relations #generating-functions
87
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Equation of a curve whose difference in ordinate values form an arithmetic sequence

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#sequences-and-series #recurrence-relations #recursive-algorithms #recursion
28
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$A_k\leq C [2^{2k}A_{k-1}]^{\mu+1}, \ k=0,1,...$ implies $A_k\to 0$?

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#recurrence-relations
331
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How to express this recurrence relation as a closed form?

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#combinatorics #recurrence-relations #closed-form
2.9k
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Repertoire method for solving recursions

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#linear-algebra #functions #recurrence-relations #recursive-algorithms #recursion
2.8k
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limit of : $a_{n+2} =\frac{1}{a_n} + \frac{1}{a_{n+1}}$

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#real-analysis #sequences-and-series #limits #recurrence-relations
241
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An issue with approximations of a recurrence sequence

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#complex-analysis #asymptotics #recurrence-relations #dynamical-systems #taylor-expansion
231
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Why do we substitute $\alpha^n$ in the recurrences of the form $ax_n=bx_{n-1}+cx_{n-2}$?

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#combinatorics #recurrence-relations
67
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Recurrence $u_{n+1}u_{n-1}-u_n^2=Ar^{n-1}$

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#recurrence-relations
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Another recurrence... $T(n)=\sqrt{2n} \cdot T(\sqrt{2n}) + \sqrt{n}$

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#recurrence-relations #recursive-algorithms

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