List questions from catalan-numbers

Published on 10 Feb 2012 - 14:19

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Finding the number of monotonic paths not crossing the diagonal

Published on 25 Mar 2012 - 17:36

255

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Simple recurrence relation in three dimensions

Published on 29 May 2012 - 15:44

412

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Binomial transform of a scaled version of the catalan numbers.

Published on 04 Jun 2012 - 15:19

2.2k

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"Ballot numbers" sum up to Catalan numbers

Published on 21 Jun 2012 - 15:53

406

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Number of positive integer walks from 0 to b.

Published on 02 Jul 2012 - 20:05

988

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Combinatorial Interpretation of Fractional Binomial Coefficients

Published on 17 Jul 2012 - 18:16

1.2k

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$N^\text{th}$ (in lexicographical order) term of balanced brackets string

Published on 30 Aug 2012 - 2:08

838

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Given algorithm which prints $n$-th string of nested parentheses, find a reverse algorithm

Published on 31 Aug 2012 - 19:28

948

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Dyck Paths, Catalan Numbers, and Trapezoidal Parallelogram Polyominoes

Published on 04 Sep 2012 - 2:15

664

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Generalized Catalan Numbers

Published on 09 Nov 2012 - 16:06

1.8k

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Generalizing the Catalan Numbers

Published on 10 Nov 2012 - 21:14

1.4k

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$n$-ary trees with $k$-internal nodes - Catalan numbers

Published on 16 Nov 2012 - 16:26

1.7k

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What are Catalan numbers?

Published on 02 Dec 2012 - 14:29

1000

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Evaluate $\sum_{n=1}^{\infty} \frac{(2n)!}{2^{2n}(n!)^2 (2n-1)}$

Published on 21 Jan 2013 - 16:30

List Question

Asymptotics of shifted Catalan numbers

Finding the number of monotonic paths not crossing the diagonal

Simple recurrence relation in three dimensions

Binomial transform of a scaled version of the catalan numbers.

"Ballot numbers" sum up to Catalan numbers

Number of positive integer walks from 0 to b.

Combinatorial Interpretation of Fractional Binomial Coefficients

$N^\text{th}$ (in lexicographical order) term of balanced brackets string

Given algorithm which prints $n$-th string of nested parentheses, find a reverse algorithm

Dyck Paths, Catalan Numbers, and Trapezoidal Parallelogram Polyominoes

Generalized Catalan Numbers

Generalizing the Catalan Numbers

$n$-ary trees with $k$-internal nodes - Catalan numbers

What are Catalan numbers?

Evaluate $\sum_{n=1}^{\infty} \frac{(2n)!}{2^{2n}(n!)^2 (2n-1)}$

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