List questions from recurrence-relations

Published on 15 Dec 2018 - 15:46

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Will the series $\sum \frac{1}{n} - \frac{1}{n + o(n)}$ converge?

Published on 29 Mar 2026 - 12:05

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Linear recurrence solving for tighest possible big O bounds

Published on 15 Dec 2018 - 22:09

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About $a_0=0, a_1=1$, $a_n=3 \frac{a_{n-1}}{n-1} + 2a_{n-2}$ for $n > 1$.

Published on 16 Dec 2018 - 11:22

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Complicated linear recursion relations

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Probability that random walk will reach state $k$ for the first time on step $n$

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First to flip N heads wins?

Published on 18 Dec 2018 - 1:36

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Compute the $m$th derivative of the sigmoid function $x(t)=1/(1+e^{-at})$

Published on 18 Dec 2018 - 12:38

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How to solve this nonlinear recurrence relations?

Published on 26 Mar 2026 - 16:04

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Prove that function on naturals defined recursively is idempotent on odd numbers

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Solving $p_k=\frac{1}{2}p_{k+1} + \frac{1}{2}p_{k-1}$

Published on 27 Mar 2026 - 19:55

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$u_{n+1} = a u_n +b u_{n-1} +c$

Published on 20 Dec 2018 - 13:59

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When is $u_n$ defined by $u_1=1,u_n=(n-1)u_{n-1}+1$ divisible by $n$?

Published on 21 Dec 2018 - 3:59

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SMO 2004 Question 21

Published on 21 Dec 2018 - 19:06

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How to solve linear differential-difference equation?

Published on 25 Mar 2026 - 1:24

List Question

Solving recurrence $X_n = 4X_{n-1}+5$

Will the series $\sum \frac{1}{n} - \frac{1}{n + o(n)}$ converge?

Linear recurrence solving for tighest possible big O bounds

About $a_0=0, a_1=1$, $a_n=3 \frac{a_{n-1}}{n-1} + 2a_{n-2}$ for $n > 1$.

Complicated linear recursion relations

Probability that random walk will reach state $k$ for the first time on step $n$

First to flip N heads wins?

Compute the $m$th derivative of the sigmoid function $x(t)=1/(1+e^{-at})$

How to solve this nonlinear recurrence relations?

Prove that function on naturals defined recursively is idempotent on odd numbers

Solving $p_k=\frac{1}{2}p_{k+1} + \frac{1}{2}p_{k-1}$

$u_{n+1} = a u_n +b u_{n-1} +c$

When is $u_n$ defined by $u_1=1,u_n=(n-1)u_{n-1}+1$ divisible by $n$?

SMO 2004 Question 21

How to solve linear differential-difference equation?

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