List questions from binomial-coefficients

Published on 20 Mar 2026 - 0:55

71

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Sum of $\frac{C_r}{(r+1)(r+2)}$ from $r=0$ to $r=n$

Published on 13 Mar 2026 - 19:51

230

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Periodicity of $a_n={n \choose z}\ mod \ y$?

Published on 22 Mar 2026 - 9:01

804

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Let $R$ be a ring of prime characteristic. Say $a\in R$ and $a$ is nilpotent. Prove that $1+a$ is unipotent.

Published on 14 Mar 2026 - 1:00

317

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Finding coefficient in the expansion

Published on 22 Mar 2026 - 1:50

452

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How to find the missing terms

Published on 23 Mar 2026 - 1:13

441

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Rewriting a binomial coefficient in terms of Pochhammer symbols

Published on 23 Mar 2026 - 8:50

129

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Proving that $\binom{2n}{n} > n2^n , \forall n \ge 4 $

Published on 14 Mar 2026 - 2:02

105

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Closed form of :$S n,m= \sum_{k=1}^n (-1)^k\binom{n}{k}k^{-m!}$

Published on 14 Mar 2026 - 0:29

324

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Another summation identity with binomial coefficients

Published on 13 Mar 2026 - 16:48

94

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Is this $\binom{n}{p}$ for $p>n$ make a sense in mathematics or it is $0$ by convention?

Published on 25 Mar 2026 - 0:01

208

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prove $\left( \begin{array}{c} 2n \\ n\ \end{array} \right) = 2 \left( \begin{array}{c} n \\ 2\ \end{array} \right) + n^2$

Published on 14 Mar 2026 - 16:00

758

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Finding the power of a binomial

Published on 22 Mar 2026 - 0:11

69

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Proof $n \geq 3\hspace{0.5cm} \sum\limits_{k=1}^{n-2}{n-k\choose 2}={n\choose 3}$

Published on 14 Mar 2026 - 15:59

352

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Sum of terms involving binomial coefficients and floor functions

Published on 24 Mar 2026 - 22:09

List Question

Proof involving Fibonacci number and binomial coefficient

Sum of $\frac{C_r}{(r+1)(r+2)}$ from $r=0$ to $r=n$

Periodicity of $a_n={n \choose z}\ mod \ y$?

Let $R$ be a ring of prime characteristic. Say $a\in R$ and $a$ is nilpotent. Prove that $1+a$ is unipotent.

Finding coefficient in the expansion

How to find the missing terms

Rewriting a binomial coefficient in terms of Pochhammer symbols

Proving that $\binom{2n}{n} > n2^n , \forall n \ge 4 $

Closed form of :$S n,m= \sum_{k=1}^n (-1)^k\binom{n}{k}k^{-m!}$

Another summation identity with binomial coefficients

Is this $\binom{n}{p}$ for $p>n$ make a sense in mathematics or it is $0$ by convention?

prove $\left( \begin{array}{c} 2n \\ n\ \end{array} \right) = 2 \left( \begin{array}{c} n \\ 2\ \end{array} \right) + n^2$

Finding the power of a binomial

Proof $n \geq 3\hspace{0.5cm} \sum\limits_{k=1}^{n-2}{n-k\choose 2}={n\choose 3}$

Sum of terms involving binomial coefficients and floor functions

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