List questions from recurrence-relations

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Let R = $\{ (n+4,n) \mid n \in \Bbb Z^+\}$, Find $R^2$

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Unfolding of recurrence in generalization of Josephus problem

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Fractal substitution system

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Two blocks binary transformation in generalized Josephus Problem

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If $R = \{(1,2),(1,4),(3,3),(4,1)\}$, then is $(1,2) \in R^2$? (Powers of Relation)

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Derive the recurrence relations

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Converting Circular formulae to Independent functions

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Let $\langle x_n\rangle$ be a recursive relation. Find $\lim_{n\to\infty}\frac {x_n}{n^2}.$

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Finding $t_{2020}$ when $t_n = \frac{5t_{n-1} + 1}{25t_{n-2}}$

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Matrix method to solve linear recceurences with slight variations

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Prove monotonicity of a sequence.

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Show that a sequence $a_n$ is a solution of the given recurrence relation

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How to perform an index shift on $\sum_{n\geq 2}(n+1)z^n$

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List Question

Generalized case of Josephus Problem

Let R = $\{ (n+4,n) \mid n \in \Bbb Z^+\}$, Find $R^2$

Unfolding of recurrence in generalization of Josephus problem

Fractal substitution system

Two blocks binary transformation in generalized Josephus Problem

If $R = \{(1,2),(1,4),(3,3),(4,1)\}$, then is $(1,2) \in R^2$? (Powers of Relation)

Derive the recurrence relations

Converting Circular formulae to Independent functions

Let $\langle x_n\rangle$ be a recursive relation. Find $\lim_{n\to\infty}\frac {x_n}{n^2}.$

Finding $t_{2020}$ when $t_n = \frac{5t_{n-1} + 1}{25t_{n-2}}$

Matrix method to solve linear recceurences with slight variations

Generating function for Catalan numbers using the "Analytic combinatorics" approach.

Prove monotonicity of a sequence.

Show that a sequence $a_n$ is a solution of the given recurrence relation

How to perform an index shift on $\sum_{n\geq 2}(n+1)z^n$

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