List questions from binomial-coefficients

Published on 26 Mar 2026 - 3:10

130

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Does this identity with binomial coefficients have a combinatorial interpretation?

Published on 26 Mar 2026 - 3:19

85

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Generalized binomial identity that converges to 2

Published on 12 Jul 2019 - 10:24

125

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Integral form for a Taylor series $\sum _{n=1}^{\infty } \frac{\binom{2 n}{n} \left(4 n H_n-2 n H_{2 n}-1\right) x^{n}}{n!}$

Published on 26 Mar 2026 - 2:57

408

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Coefficients of polynomial $(x+1)(x+2)...(x+n)$

Published on 26 Mar 2026 - 7:50

39

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how do I do I solve this equation

Published on 27 Mar 2026 - 4:04

169

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Sum of product of certain binomial coefficients: $\sum\limits_{m = 0}^k \sum\limits_{n = 0}^m \binom{k}{m} \binom mn$

Published on 14 Jul 2019 - 1:23

58

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Why does this relation hold? Representing sum as (d-1) derivative of a function

Published on 14 Jul 2019 - 7:36

195

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Applying Stirling's formula to natural logarithm of binomial coefficient

Published on 14 Jul 2019 - 17:59

163

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Is the sum of binomial coefficients over square free integers normally distributed?

Published on 15 Jul 2019 - 11:05

215

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Proof of a Binomial identity

Published on 16 Jul 2019 - 13:56

335

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If $\binom{n+2}{5}=12\binom{n}3$ what is n.

Published on 16 Jul 2019 - 20:47

580

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Combinatorial proof of $\sum_{k=0}^{n} \binom{3n-k}{2n} = \binom{3n+1}{n}$

Published on 26 Mar 2026 - 3:12

2.1k

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How to determine the coefficient of $x^{10}$ in the expansion $(1+x+x^2+x^3+.....+x^{10})^4$

Published on 27 Mar 2026 - 23:35

136

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A question on counting

Published on 19 Jul 2019 - 12:58

List Question

Does this equation hold in general?

Does this identity with binomial coefficients have a combinatorial interpretation?

Generalized binomial identity that converges to 2

Integral form for a Taylor series $\sum _{n=1}^{\infty } \frac{\binom{2 n}{n} \left(4 n H_n-2 n H_{2 n}-1\right) x^{n}}{n!}$

Coefficients of polynomial $(x+1)(x+2)...(x+n)$

how do I do I solve this equation

Sum of product of certain binomial coefficients: $\sum\limits_{m = 0}^k \sum\limits_{n = 0}^m \binom{k}{m} \binom mn$

Why does this relation hold? Representing sum as (d-1) derivative of a function

Applying Stirling's formula to natural logarithm of binomial coefficient

Is the sum of binomial coefficients over square free integers normally distributed?

Proof of a Binomial identity

If $\binom{n+2}{5}=12\binom{n}3$ what is n.

Combinatorial proof of $\sum_{k=0}^{n} \binom{3n-k}{2n} = \binom{3n+1}{n}$

How to determine the coefficient of $x^{10}$ in the expansion $(1+x+x^2+x^3+.....+x^{10})^4$

A question on counting

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