List questions from analytic-combinatorics

Published on 19 Mar 2026 - 4:23

285

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A combinatorial sum and identity involving Stirling numbers of the second kind

Published on 19 Mar 2026 - 16:53

1.4k

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In how many bit strings of length 10 are there with no 3 0s adjacent

Published on 24 Mar 2026 - 15:14

1.3k

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Using generating functions to answer how many bit strings of length N have no 000

Published on 22 Mar 2026 - 16:56

45

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Limiting behaviour of usual lengths of runs

Published on 07 Mar 2026 - 11:02

525

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Taylor series for multivalued complex functions (and their use in combinatorics)

Published on 28 Mar 2016 - 15:59

255

Views

Generalizing the growth of sums of two squares

Published on 16 Jun 2016 - 18:19

926

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Lower Bound for Sum.

Published on 08 Jul 2017 - 2:44

48

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5 power k in binary form 1's and 0's density for large k.

Published on 24 Dec 2017 - 21:23

111

Views

A summation including binomial coefficients

Published on 31 Jul 2020 - 18:03

248

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closed form expression for the summation $\sum_{i=0}^{\infty}\binom{i+k}{i}x^ii^t$

Published on 14 Aug 2020 - 3:30

130

Views

Bounding integrals using asymptotic expansions of the integrand

Published on 08 Oct 2020 - 15:50

216

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Prove that $\sum\limits_{j=0}^k\,j\,\binom{n}{j}\,\binom{n-j}{2k-2j}\,2^{2k-2j}=n\binom{2n-2}{2k-2}$

Published on 14 Oct 2020 - 9:31

221

Views

Using the Faà di Bruno formula

Published on 22 Oct 2020 - 2:03

134

Views

Deriving exponential generating function for central trinomial coefficients

Published on 30 Dec 2020 - 1:40

List Question

Asymptotics of Binomial coefficients

A combinatorial sum and identity involving Stirling numbers of the second kind

In how many bit strings of length 10 are there with no 3 0s adjacent

Using generating functions to answer how many bit strings of length N have no 000

Limiting behaviour of usual lengths of runs

Taylor series for multivalued complex functions (and their use in combinatorics)

Generalizing the growth of sums of two squares

Lower Bound for Sum.

5 power k in binary form 1's and 0's density for large k.

A summation including binomial coefficients

closed form expression for the summation $\sum_{i=0}^{\infty}\binom{i+k}{i}x^ii^t$

Bounding integrals using asymptotic expansions of the integrand

Prove that $\sum\limits_{j=0}^k\,j\,\binom{n}{j}\,\binom{n-j}{2k-2j}\,2^{2k-2j}=n\binom{2n-2}{2k-2}$

Using the Faà di Bruno formula

Deriving exponential generating function for central trinomial coefficients

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