List questions from recurrence-relations

Published on 27 Mar 2026 - 18:48

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Solving recurrence relation $T(n) = T(n/3) + T(n/2) + n^3$

Published on 02 Oct 2018 - 18:03

71

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Inductive proof for recursive formula with multiple recursive references

Published on 26 Mar 2026 - 6:17

458

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Find a recursive definition of this sequence

Published on 03 Oct 2018 - 15:31

95

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Solving $(n+1)X^{n+1}-(n-1)X^{n}-(n-1)X + n+1 =0$ in $\mathbb{C}$

Published on 03 Oct 2018 - 18:18

105

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Prove there exist infinite subsequences of $x_{n+1} = x_n + 2^n$ all members of which are divisible by $3$

Published on 03 Oct 2018 - 19:21

44

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Series solution to an ODE always giving me 0

Published on 04 Oct 2018 - 2:05

115

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$s_n=s_{n-1}+(n-1)s_{n-2}$ prove $s_n>\sqrt{n!n}$ for $n\ge4$

Published on 04 Oct 2018 - 16:19

521

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The Periodic Collatz Conjecture

Published on 25 Mar 2026 - 9:22

125

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Given $S_n = \sum \dots$ and $a_n = \sum \dots$ prove that $a_n = S_n + {1\over n\cdot n!}$

Published on 28 Mar 2026 - 6:13

237

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Slowest-growing divisibility sequence?

Published on 25 Mar 2026 - 19:00

58

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Solving of basic recurrence relation

Published on 07 Oct 2018 - 12:14

55

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Recurrence $a_j = \frac{n}{n-j} + \frac{j}{n-j} a_{j-1}$

Published on 07 Oct 2018 - 21:19

41

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Method for solution to a recurrence

Published on 26 Mar 2026 - 4:48

464

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Help with induction on a recursive sequence.

Published on 26 Mar 2026 - 6:17

List Question

Calculating Pascal's Triangle N-th row - why does this work?

Solving recurrence relation $T(n) = T(n/3) + T(n/2) + n^3$

Inductive proof for recursive formula with multiple recursive references

Find a recursive definition of this sequence

Solving $(n+1)X^{n+1}-(n-1)X^{n}-(n-1)X + n+1 =0$ in $\mathbb{C}$

Prove there exist infinite subsequences of $x_{n+1} = x_n + 2^n$ all members of which are divisible by $3$

Series solution to an ODE always giving me 0

$s_n=s_{n-1}+(n-1)s_{n-2}$ prove $s_n>\sqrt{n!n}$ for $n\ge4$

The Periodic Collatz Conjecture

Given $S_n = \sum \dots$ and $a_n = \sum \dots$ prove that $a_n = S_n + {1\over n\cdot n!}$

Slowest-growing divisibility sequence?

Solving of basic recurrence relation

Recurrence $a_j = \frac{n}{n-j} + \frac{j}{n-j} a_{j-1}$

Method for solution to a recurrence

Help with induction on a recursive sequence.

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