List questions from binomial-coefficients

Published on 21 Apr 2019 - 10:12

89

Views

Estimating $\sum\limits_{d\mid n}{d+a\choose b}$

Published on 25 Mar 2026 - 13:53

210

Views

Find the summation of given expression: $\sum_{k=1}^n k^3\binom nk$

Published on 21 Apr 2019 - 17:07

187

Views

Inequality involving $e$: $\binom{n}{k} < \frac{1}{e}\big(\frac{en}{k}\big)^k$

Published on 24 Mar 2026 - 6:17

975

Views

Sum of dependent Binomial distributions

Published on 25 Mar 2026 - 6:19

108

Views

$\sum_{m=0}^N \frac{1}{m+1}{N\choose m}p^m (1-p)^{N-m}=\frac{1-(1-p)^{N+1}}{(N+1)p}$

Published on 23 Apr 2019 - 12:12

553

Views

Combinatorial proof for $\sum_{k=0}^p (-1)^k {n \choose k} = (-1)^p {n-1 \choose p}$

Published on 25 Mar 2026 - 23:52

251

Views

Number of integral solutions to elliptic curve $\binom n2=\binom m3$.

Published on 28 Mar 2026 - 0:56

86

Views

New results on Identical Binomial Coefficient?

Published on 25 Mar 2026 - 22:30

72

Views

Binomial sums of the form $\sum_{k=\ell+1}^{n}(-1)^{(k-\ell+1)}\binom{k}{\ell}$

Published on 27 Mar 2026 - 10:47

528

Views

Formula for combinations with equally spaced points?

Published on 25 Apr 2019 - 0:06

59

Views

Binomial distribution with nonlinear function of successes

Published on 26 Mar 2026 - 17:30

1.5k

Views

How do I prove this combinatorial identity

Published on 25 Mar 2026 - 23:51

192

Views

Understanding the formular $1/8(tr(A^4_G)-2|E|-4\sum_{v\in V} \binom{deg_G(v)}{2} )$ for the number of cycles of length 4 in G

Published on 26 Apr 2019 - 13:20

285

Views

Finding a pattern, I'm stuck

Published on 25 Feb 2026 - 7:46

List Question

Generating function of binomial coefficients

Estimating $\sum\limits_{d\mid n}{d+a\choose b}$

Find the summation of given expression: $\sum_{k=1}^n k^3\binom nk$

Inequality involving $e$: $\binom{n}{k} < \frac{1}{e}\big(\frac{en}{k}\big)^k$

Sum of dependent Binomial distributions

$\sum_{m=0}^N \frac{1}{m+1}{N\choose m}p^m (1-p)^{N-m}=\frac{1-(1-p)^{N+1}}{(N+1)p}$

Combinatorial proof for $\sum_{k=0}^p (-1)^k {n \choose k} = (-1)^p {n-1 \choose p}$

Number of integral solutions to elliptic curve $\binom n2=\binom m3$.

New results on Identical Binomial Coefficient?

Binomial sums of the form $\sum_{k=\ell+1}^{n}(-1)^{(k-\ell+1)}\binom{k}{\ell}$

Formula for combinations with equally spaced points?

Binomial distribution with nonlinear function of successes

How do I prove this combinatorial identity

Understanding the formular $1/8(tr(A^4_G)-2|E|-4\sum_{v\in V} \binom{deg_G(v)}{2} )$ for the number of cycles of length 4 in G

Finding a pattern, I'm stuck

Trending Questions

Popular # Hahtags

Popular Questions