List questions from binomial-coefficients

Published on 06 Oct 2014 - 7:18

105

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combinational proof for $ 1 + 2 + \cdots + n = \binom {n+1} 2 $

Published on 06 Oct 2014 - 19:42

73

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prove that $ \binom n 2 + \binom {n-2} 2 + \binom {n-4} 2 + \dots + \binom 3 2 = \frac 1 {24} (n-1)(n+1) (2n+3) $

Published on 06 Oct 2014 - 20:19

342

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How can I solve for $n$ in this binomial coefficient equation

Published on 29 Mar 2026 - 3:21

404

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Black bears and tan-colored bears catching salmon in Alaska

Published on 07 Oct 2014 - 15:02

94

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Product of binomial coefficients

Published on 08 Oct 2014 - 4:22

136

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How to calculate $\sum\limits_{k=0}^{n}{k\dbinom{n}{k}}$

Published on 08 Oct 2014 - 8:30

1.7k

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Alternating sum of binomial coefficients multiplied by (1/k+1)

Published on 08 Oct 2014 - 15:21

233

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Proof of an identity involving binomial coefficients

Published on 08 Oct 2014 - 17:14

3.5k

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Proofs of identity for product of binomial coefficients

Published on 29 Mar 2026 - 15:02

107

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Growth of ratio of binomials polynomial or exponential?

Published on 10 Oct 2014 - 6:54

41

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Find $f(n)$ in $\binom {2^n} {n^4} = (f(n)+ o(1))^n$

Published on 11 Oct 2014 - 17:12

207

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Proving a Binomial Identity

Published on 28 Mar 2026 - 23:55

100

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Find summation of following series.

Published on 12 Oct 2014 - 15:45

126

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Explanation about an identity involving inverse binomial coefficients.

Published on 12 Oct 2014 - 17:27

List Question

counting the rectangles in nxn square

combinational proof for $ 1 + 2 + \cdots + n = \binom {n+1} 2 $

prove that $ \binom n 2 + \binom {n-2} 2 + \binom {n-4} 2 + \dots + \binom 3 2 = \frac 1 {24} (n-1)(n+1) (2n+3) $

How can I solve for $n$ in this binomial coefficient equation

Black bears and tan-colored bears catching salmon in Alaska

Product of binomial coefficients

How to calculate $\sum\limits_{k=0}^{n}{k\dbinom{n}{k}}$

Alternating sum of binomial coefficients multiplied by (1/k+1)

Proof of an identity involving binomial coefficients

Proofs of identity for product of binomial coefficients

Growth of ratio of binomials polynomial or exponential?

Find $f(n)$ in $\binom {2^n} {n^4} = (f(n)+ o(1))^n$

Proving a Binomial Identity

Find summation of following series.

Explanation about an identity involving inverse binomial coefficients.

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