List questions from recurrence-relations

Published on 15 Apr 2026 - 9:34

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Prove that $\left(\frac{3+\sqrt{17}}{2}\right)^n + \left(\frac{3-\sqrt{17}}{2}\right)^n$ is always odd for any natural $n$.

Published on 16 Apr 2026 - 22:43

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Recursion problem

Published on 11 Apr 2026 - 2:43

40

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Incomplete Definition of a Linear Recurrence Relation

Published on 12 Apr 2026 - 13:14

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Solving a non-homogenous linear recurrence relation with initial conditions

Published on 14 Apr 2026 - 7:30

105

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Show a solution to a recurrence relation?

Published on 11 Apr 2026 - 7:28

70

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Solve the recurrence relation $a_n =1.04*a_{n−1}+100, a_0 =0$

Published on 17 Apr 2026 - 1:36

140

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Greedy monotone subsequence in a random permutation

Published on 12 Apr 2026 - 7:20

102

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Recursive sequence with n terms

Published on 13 Apr 2026 - 19:27

45

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Using recursion to organize office productivity

Published on 10 Apr 2026 - 6:45

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Condition for following sequence (given linear recurrence) to be bounded below

Published on 12 Apr 2026 - 20:24

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Proof of recursion formula for Stirling number of the second kind

Published on 10 Apr 2026 - 19:01

79

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Proving number of 0-1 sequences of length n that avoid 1111 equal to tetranacci (n+4)

Published on 16 Apr 2026 - 4:51

50

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How can we solve the difference equation $2(k-N) = j_{k+1} - 2j_k +j_{k-1}$?

Published on 15 Apr 2026 - 12:45

960

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Derive an explicit formula for the following recurrence for $n\geq 1$

Published on 14 Apr 2026 - 7:22

List Question

The integral $\int \frac{J_{d/2}^{2}(x)}{x} \ \mathrm{d}x$

Prove that $\left(\frac{3+\sqrt{17}}{2}\right)^n + \left(\frac{3-\sqrt{17}}{2}\right)^n$ is always odd for any natural $n$.

Recursion problem

Incomplete Definition of a Linear Recurrence Relation

Solving a non-homogenous linear recurrence relation with initial conditions

Show a solution to a recurrence relation?

Solve the recurrence relation $a_n =1.04*a_{n−1}+100, a_0 =0$

Greedy monotone subsequence in a random permutation

Recursive sequence with n terms

Using recursion to organize office productivity

Condition for following sequence (given linear recurrence) to be bounded below

Proof of recursion formula for Stirling number of the second kind

Proving number of 0-1 sequences of length n that avoid 1111 equal to tetranacci (n+4)

How can we solve the difference equation $2(k-N) = j_{k+1} - 2j_k +j_{k-1}$?

Derive an explicit formula for the following recurrence for $n\geq 1$

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