Question

$n$- transposition permutations in $S_{2n}$ which decompose a $2n$-cycle into $n+1$ cycles

score 133 · Answer 1 · 2023-09-03 20:06:22

133

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$n$- transposition permutations in $S_{2n}$ which decompose a $2n$-cycle into $n+1$ cycles

Published on 03 Sep 2023 - 20:06

score 24 · Answer 2 · 2023-09-11 19:09:00

24

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Counting Paths in the XY Plane (Discrete math)

Published on 11 Sep 2023 - 19:09

score 99 · Answer 3 · 2023-09-18 05:40:02

99

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Catalan numbers in numerical sequences

Published on 18 Sep 2023 - 5:40

score 43 · Answer 4 · 2023-09-22 01:05:37

43

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Lattice Paths $C_{n}$ & $C_{n-1}$

Published on 22 Sep 2023 - 1:05

score 76 · Answer 5 · 2026-03-27 11:48:15

76

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Catalan Numbers: Sequence of -1 and 1 that sums to 0 with conditions

Published on 27 Mar 2026 - 11:48

score 45 · Answer 6 · 2023-10-13 22:28:40

45

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How to compute the number of illegal lattice paths from $(0,0)$ to $(n,n)$ without reflection?

Published on 13 Oct 2023 - 22:28

score 118 · Answer 7 · 2023-10-14 21:27:42

118

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Prove: $\sum_{i=0}^{n-1} C_i\binom{2(n-i)-1}{n-i} = \binom{2n}{n+1}$

Published on 14 Oct 2023 - 21:27

score 193 · Answer 8 · 2023-12-09 15:34:21

193

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Which closed form expression for this series involving Catalan numbers : $\sum_{n=1}^{\infty}\frac{(-1)^{n-1}}{4^nn^2}\binom{2n}{n}$

Published on 09 Dec 2023 - 15:34

score 28 · Answer 9 · 2026-03-25 13:57:10

28

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I want to count the multiplicity of specific peak sets occurring in a standard shifted tableau with some restrictions. Possibly using path counting?

Published on 25 Mar 2026 - 13:57

score 161 · Answer 10 · 2023-12-23 07:54:56

161

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Passenger entrance/exit combinations

Published on 23 Dec 2023 - 7:54

score 48 · Answer 11 · 2024-01-13 14:48:23

48

Views

What is the difference between counting plane tree and binary tree by Catalan numbers?

Published on 13 Jan 2024 - 14:48

score 48 · Answer 12 · 2024-02-12 18:01:41

48

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Combinatorial explanation of Catalan asymptotics

Published on 12 Feb 2024 - 18:01

score 94 · Answer 13 · 2024-02-21 22:19:12

94

Views

Counting the number of possible sequences increasing by no more than one

Published on 21 Feb 2024 - 22:19

score 95 · Answer 14 · 2024-03-14 19:51:56

95

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Generating Functions for Recursive String Compositions with Parenthetical Constraints

Published on 14 Mar 2024 - 19:51

score 217 · Answer 15 · 2015-01-07 11:57:52

217

Views

Sum concerning Catalan triangle and binomials

Published on 07 Jan 2015 - 11:57

List Question

$n$- transposition permutations in $S_{2n}$ which decompose a $2n$-cycle into $n+1$ cycles

Counting Paths in the XY Plane (Discrete math)

Catalan numbers in numerical sequences

Lattice Paths $C_{n}$ & $C_{n-1}$

Catalan Numbers: Sequence of -1 and 1 that sums to 0 with conditions

How to compute the number of illegal lattice paths from $(0,0)$ to $(n,n)$ without reflection?

Prove: $\sum_{i=0}^{n-1} C_i\binom{2(n-i)-1}{n-i} = \binom{2n}{n+1}$

Which closed form expression for this series involving Catalan numbers : $\sum_{n=1}^{\infty}\frac{(-1)^{n-1}}{4^nn^2}\binom{2n}{n}$

I want to count the multiplicity of specific peak sets occurring in a standard shifted tableau with some restrictions. Possibly using path counting?

Passenger entrance/exit combinations

What is the difference between counting plane tree and binary tree by Catalan numbers?

Combinatorial explanation of Catalan asymptotics

Counting the number of possible sequences increasing by no more than one

Generating Functions for Recursive String Compositions with Parenthetical Constraints

Sum concerning Catalan triangle and binomials

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