Question

Simple integer sequence with unknown direct generator

score 57 · Answer 1 · 2026-04-17 13:57:54

57

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Simple integer sequence with unknown direct generator

Published on 17 Apr 2026 - 13:57

score 98 · Answer 2 · 2026-04-16 08:22:25

98

Views

Solving the recurrence $a_n=aa_{n-1}+ba_{n-2}$ using formal power series.

Published on 16 Apr 2026 - 8:22

score 163 · Answer 3 · 2026-04-16 13:27:14

163

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Convergence of sequence $x_{n+1}=\frac{x_n^2+2}{2x_{n}-1}$

Published on 16 Apr 2026 - 13:27

score 66 · Answer 4 · 2026-04-17 05:36:24

66

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Find the best upper bound of sequence $x_n$ such that $x_{n+1} \leq a x_{n} + b \sqrt{x_{n}} + c$.

Published on 17 Apr 2026 - 5:36

score 69 · Answer 5 · 2026-04-16 20:06:23

69

Views

Solving recurrence relation T(n) = T(n − 2) + n log n

Published on 16 Apr 2026 - 20:06

score 198 · Answer 6 · 2026-04-16 03:54:07

198

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What is the solution (tightest upper bound for runtime) of $T(n) = 2T(n/4) + O(n^2 \log n)$?

Published on 16 Apr 2026 - 3:54

score 145 · Answer 7 · 2026-04-14 06:13:56

145

Views

Solving a particular recurrence of polynomials

Published on 14 Apr 2026 - 6:13

score 2.2k · Answer 8 · 2026-04-11 03:44:57

2.2k

Views

How to prove this recurrence relation for generalized "rounding up to $\pi$"?

Published on 11 Apr 2026 - 3:44

score 507 · Answer 9 · 2026-04-12 11:17:49

507

Views

Solving linear non homogeneous recurrence relations

Published on 12 Apr 2026 - 11:17

score 102 · Answer 10 · 2026-04-17 04:50:22

102

Views

$T_n(x)^2 + T_n(y)^2-1$ is divisible by $x^2 + y^2-1$ where $T_n(x)$ is the Chebyshev polynomial, and $n$ odd

Published on 17 Apr 2026 - 4:50

score 44 · Answer 11 · 2026-04-16 00:46:15

44

Views

We add center $O$ to a regular hexagon with 6 rays, connecting the point O with vertices. How many closed routes of length n are there in the graph?

Published on 16 Apr 2026 - 0:46

score 65 · Answer 12 · 2026-04-11 09:49:34

65

Views

Closed form expression of the nth term

Published on 11 Apr 2026 - 9:49

score 187 · Answer 13 · 2026-04-16 07:18:57

187

Views

Solving $a_n = 5a_{n-1} + 6a_{n-2}$

Published on 16 Apr 2026 - 7:18

score 85 · Answer 14 · 2026-04-11 16:35:04

85

Views

Solving another discrete ODE with generating function

Published on 11 Apr 2026 - 16:35

score 82 · Answer 15 · 2026-04-09 20:12:00

82

Views

Closed form of a recurrence relationship

Published on 09 Apr 2026 - 20:12

List Question

Simple integer sequence with unknown direct generator

Solving the recurrence $a_n=aa_{n-1}+ba_{n-2}$ using formal power series.

Convergence of sequence $x_{n+1}=\frac{x_n^2+2}{2x_{n}-1}$

Find the best upper bound of sequence $x_n$ such that $x_{n+1} \leq a x_{n} + b \sqrt{x_{n}} + c$.

Solving recurrence relation T(n) = T(n − 2) + n log n

What is the solution (tightest upper bound for runtime) of $T(n) = 2T(n/4) + O(n^2 \log n)$?

Solving a particular recurrence of polynomials

How to prove this recurrence relation for generalized "rounding up to $\pi$"?

Solving linear non homogeneous recurrence relations

$T_n(x)^2 + T_n(y)^2-1$ is divisible by $x^2 + y^2-1$ where $T_n(x)$ is the Chebyshev polynomial, and $n$ odd

We add center $O$ to a regular hexagon with 6 rays, connecting the point O with vertices. How many closed routes of length n are there in the graph?

Closed form expression of the nth term

Solving $a_n = 5a_{n-1} + 6a_{n-2}$

Solving another discrete ODE with generating function

Closed form of a recurrence relationship

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