Question

recursively, how many numbers of maximum n digits (base-5) without the sequence 21

score 37 · Answer 1 · 2026-03-30 14:57:46

37

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recursively, how many numbers of maximum n digits (base-5) without the sequence 21

Published on 30 Mar 2026 - 14:57

score 114 · Answer 2 · 2026-04-09 04:59:47

114

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How do I solve this recursive equation which involves square root?

Published on 09 Apr 2026 - 4:59

score 162 · Answer 3 · 2020-07-06 12:37:27

162

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How to show that $J_{n+1} = \frac{3n-1}{3n} J_n$?

Published on 06 Jul 2020 - 12:37

score 68 · Answer 4 · 2026-03-25 19:05:08

68

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An unexpected pair of almost-Fibonacci and Tribonacci series

Published on 25 Mar 2026 - 19:05

score 110 · Answer 5 · 2020-07-06 18:43:30

110

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convergent series $s_n = \sum_{k=1}^n{1/a_k}$

Published on 06 Jul 2020 - 18:43

score 32 · Answer 6 · 2020-07-06 23:13:07

32

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How to solve the following multivariate recurrence relation?

Published on 06 Jul 2020 - 23:13

score 330 · Answer 7 · 2020-07-07 12:42:25

330

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Check if a sequence converges.

Published on 07 Jul 2020 - 12:42

score 144 · Answer 8 · 2020-07-07 18:58:18

144

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Show that all terms of this sequence are integers.

Published on 07 Jul 2020 - 18:58

score 320 · Answer 9 · 2026-03-31 13:55:44

320

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Closed-Form solution for nested integrals of this polynomial?

Published on 31 Mar 2026 - 13:55

score 13 · Answer 10 · 2026-03-01 05:19:04

13

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$\sum_{k=0} ^\infty (-1)^k \frac{(2k)!!}{(2k+1)!!} a^{2k+1}$ derivative relation

Published on 01 Mar 2026 - 5:19

score 89 · Answer 11 · 2020-07-08 07:51:48

89

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An easy way to define the sequence $0$, $1$, $0$, $\frac12$, $1$, $0$, $\frac13$, $\frac23$, $1$, $0$, $\frac14$, $\frac24$, $\frac34$, $1$, $\ldots$?

Published on 08 Jul 2020 - 7:51

score 131 · Answer 12 · 2026-03-26 07:59:08

131

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If $a_{n+1}=2a_n −n^2+n$ Define a sequence $a_n$ that satisfy the recurrence relation as described above, with $a_1 = 3$

Published on 26 Mar 2026 - 7:59

score 108 · Answer 13 · 2026-03-29 04:34:22

108

Views

fibonacci recurrence relation proof

Published on 29 Mar 2026 - 4:34

score 166 · Answer 14 · 2026-03-30 07:11:37

166

Views

Show that the sequence $x_{n+1} = \frac12(x_n+ \sqrt{x_n})$ converges and determine the limit.

Published on 30 Mar 2026 - 7:11

score 158 · Answer 15 · 2026-03-30 22:49:44

158

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Continuous functions $f: \mathbb{R} \to \mathbb{R}$ such that $f\big(f(x)\big)=rf(x)+sx$ and $r,s \in (0, 1/2).$

Published on 30 Mar 2026 - 22:49

List Question

recursively, how many numbers of maximum n digits (base-5) without the sequence 21

How do I solve this recursive equation which involves square root?

How to show that $J_{n+1} = \frac{3n-1}{3n} J_n$?

An unexpected pair of almost-Fibonacci and Tribonacci series

convergent series $s_n = \sum_{k=1}^n{1/a_k}$

How to solve the following multivariate recurrence relation?

Check if a sequence converges.

Show that all terms of this sequence are integers.

Closed-Form solution for nested integrals of this polynomial?

$\sum_{k=0} ^\infty (-1)^k \frac{(2k)!!}{(2k+1)!!} a^{2k+1}$ derivative relation

An easy way to define the sequence $0$, $1$, $0$, $\frac12$, $1$, $0$, $\frac13$, $\frac23$, $1$, $0$, $\frac14$, $\frac24$, $\frac34$, $1$, $\ldots$?

If $a_{n+1}=2a_n −n^2+n$ Define a sequence $a_n$ that satisfy the recurrence relation as described above, with $a_1 = 3$

fibonacci recurrence relation proof

Show that the sequence $x_{n+1} = \frac12(x_n+ \sqrt{x_n})$ converges and determine the limit.

Continuous functions $f: \mathbb{R} \to \mathbb{R}$ such that $f\big(f(x)\big)=rf(x)+sx$ and $r,s \in (0, 1/2).$

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