List questions from binomial-coefficients

Published on 27 Mar 2026 - 0:07

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Sum involving squares of binomial coefficients

Published on 12 Nov 2018 - 18:53

69

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Explanation for binomial sums $\sum_{n=0}^{\infty} \binom{-4}{n-1} (-1)^{n-1} x^n = \sum_{n=0}^{\infty} \binom{-4}{n} (-1) x^{n+1}$

Published on 23 Feb 2026 - 2:42

59

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Series involving squares of binomial coefficients

Published on 15 Nov 2018 - 20:56

53

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Limiting sum of binomial coefficients multiplied by powers

Published on 16 Nov 2018 - 6:52

130

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Definition of $\binom{\frac{1}{2}}{1}$?

Published on 16 Nov 2018 - 21:54

56

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Prove that $\binom{n}{1}^2+2\binom{n}{2}^2+\cdots +n\binom{n}{n}^2=n\binom{2n-1}{n-1}$

Published on 17 Nov 2018 - 8:52

141

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Calculate $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k}$

Published on 17 Nov 2018 - 9:26

169

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Calculating $\sum_{k=0}^{\lfloor \frac{p}{2} \rfloor} \binom{p}{k}$

Published on 26 Mar 2026 - 2:56

449

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A mod 2 binomial identity

Published on 17 Nov 2018 - 18:31

422

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Probability that Santa will give $N$ different presents to exactly $N-1$ kids

Published on 18 Nov 2018 - 17:27

20.4k

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Binomial Theorem with Three Terms

Published on 19 Nov 2018 - 10:18

159

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${x\choose 2}+{n-x\choose 2} \leq {n-1\choose 2}$

Published on 19 Nov 2018 - 20:08

50

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Binomial coefficient from a double sequence $\{a_{n,k}\}$ of Pascal Triangle

Published on 19 Nov 2018 - 20:54

160

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How does it follow from the Pascal's Triangle that binomial coefficient are integers

Published on 27 Mar 2026 - 1:44

List Question

How to expand product of $n$ factors.

Sum involving squares of binomial coefficients

Explanation for binomial sums $\sum_{n=0}^{\infty} \binom{-4}{n-1} (-1)^{n-1} x^n = \sum_{n=0}^{\infty} \binom{-4}{n} (-1) x^{n+1}$

Series involving squares of binomial coefficients

Limiting sum of binomial coefficients multiplied by powers

Definition of $\binom{\frac{1}{2}}{1}$?

Prove that $\binom{n}{1}^2+2\binom{n}{2}^2+\cdots +n\binom{n}{n}^2=n\binom{2n-1}{n-1}$

Calculate $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k}$

Calculating $\sum_{k=0}^{\lfloor \frac{p}{2} \rfloor} \binom{p}{k}$

A mod 2 binomial identity

Probability that Santa will give $N$ different presents to exactly $N-1$ kids

Binomial Theorem with Three Terms

${x\choose 2}+{n-x\choose 2} \leq {n-1\choose 2}$

Binomial coefficient from a double sequence $\{a_{n,k}\}$ of Pascal Triangle

How does it follow from the Pascal's Triangle that binomial coefficient are integers

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