List questions from binomial-coefficients

Published on 25 Mar 2026 - 16:07

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How to calculate the number of integer solution of a linear equation with constraints?

Published on 30 Mar 2026 - 7:08

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Ordered partitions of an integer (with a twist)

Published on 25 Jul 2014 - 11:56

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Finding a particular term of a binomial expansion

Published on 28 Mar 2026 - 13:40

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Is there a set of 69 length-6-sets out of 46 numbers [1..46] so that those length-6-sets "cover" all possible 1035 length-2-sets of 46 numbers?

Published on 26 Jul 2014 - 17:12

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Why does this infinite series equal one? $\sum_{k=1}^\infty \binom{2k}{k} \frac{1}{4^k(k+1)}=1$

Published on 26 Jul 2014 - 21:29

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Upper bound of $\sum\limits_{j=1}^{n+1} \sum\limits_{i=0}^{j-1}{n+1 \choose j}{n \choose i}$

Published on 27 Jul 2014 - 9:55

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Simplify the expression of binom

Published on 27 Jul 2014 - 23:14

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Has anyone studied this binomial like coefficients before?

Published on 31 Mar 2026 - 8:09

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How find this sum $\sum\limits_{i=0}^{2n}\binom{2n}{2i}\binom{2i}{i}y^{2i}$

Published on 28 Jul 2014 - 8:15

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An upper bound and simplification for expression

Published on 28 Jul 2014 - 9:34

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Binomial Congruence Modulo a Prime

Published on 29 Jul 2014 - 4:22

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Probability $\sum_{j=n+1}^{2n+1} {M \choose m+1}{M-m-1 \choose j-m-1}/{N \choose j} $

Published on 29 Jul 2014 - 6:27

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Upper bound on $ \binom{a}{m+1}\sum ^m_{j=0} \binom{a-m-1}{j}/\binom{b}{j+m+1}$

Published on 29 Jul 2014 - 11:02

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A sum with binomial coefficients in the numerator and denominator.

Published on 26 Mar 2026 - 6:25

List Question

Binomial dependent on a Poisson

How to calculate the number of integer solution of a linear equation with constraints?

Ordered partitions of an integer (with a twist)

Finding a particular term of a binomial expansion

Is there a set of 69 length-6-sets out of 46 numbers [1..46] so that those length-6-sets "cover" all possible 1035 length-2-sets of 46 numbers?

Why does this infinite series equal one? $\sum_{k=1}^\infty \binom{2k}{k} \frac{1}{4^k(k+1)}=1$

Upper bound of $\sum\limits_{j=1}^{n+1} \sum\limits_{i=0}^{j-1}{n+1 \choose j}{n \choose i}$

Simplify the expression of binom

Has anyone studied this binomial like coefficients before?

How find this sum $\sum\limits_{i=0}^{2n}\binom{2n}{2i}\binom{2i}{i}y^{2i}$

An upper bound and simplification for expression

Binomial Congruence Modulo a Prime

Probability $\sum_{j=n+1}^{2n+1} {M \choose m+1}{M-m-1 \choose j-m-1}/{N \choose j} $

Upper bound on $ \binom{a}{m+1}\sum ^m_{j=0} \binom{a-m-1}{j}/\binom{b}{j+m+1}$

A sum with binomial coefficients in the numerator and denominator.

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