Question

Is there a closed form for the binomial expression $\binom{-1/m}{k} $?

score 91 · Answer 1 · 2026-04-09 13:22:56

91

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Is there a closed form for the binomial expression $\binom{-1/m}{k} $?

Published on 09 Apr 2026 - 13:22

score 144 · Answer 2 · 2020-10-03 22:29:37

144

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Closed-form for $\int_0^{\infty}(\sqrt[p]{x^p+1}-x)^p\,dx$, $p>\phi$; $\phi = (1+\sqrt{5})/2$

Published on 03 Oct 2020 - 22:29

score 434 · Answer 3 · 2026-03-28 15:26:33

434

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Roots of Hermite polynomials in closed form?

Published on 28 Mar 2026 - 15:26

score 67 · Answer 4 · 2026-04-10 16:24:38

67

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Finding a closed form for a given sequence

Published on 10 Apr 2026 - 16:24

score 260 · Answer 5 · 2020-10-08 11:52:28

260

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General substitution method for solving first order recurrence relations with non-linear coefficients

Published on 08 Oct 2020 - 11:52

score 73 · Answer 6 · 2026-04-09 04:25:15

73

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Closed-form for $\sum_k r^{k^2}$?

Published on 09 Apr 2026 - 4:25

score 45 · Answer 7 · 2026-04-10 19:02:33

45

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How to solve this geometric+arithmetic recurrence

Published on 10 Apr 2026 - 19:02

score 100 · Answer 8 · 2020-10-09 17:37:24

100

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Finding a closed form for $x_0 = c_0, x_1 = c_1, \dots, x_{m-1} = c_{m-1}$ with $x_{n} = ax_{n-m} + b$

Published on 09 Oct 2020 - 17:37

score 468 · Answer 9 · 2026-04-10 02:38:09

468

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Finding the closed form of a recursive formula using repeated substitution

Published on 10 Apr 2026 - 2:38

score 90 · Answer 10 · 2026-04-11 20:58:05

90

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Please help to continue the derivation of closed form of zeta function at odd integer values

Published on 11 Apr 2026 - 20:58

score 162 · Answer 11 · 2026-04-01 07:20:42

162

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Closed form $\int_{0}^{\frac{\pi}{2}}\int_{0}^{\frac{\pi}{2}}\int_{0}^{\frac{\pi}{2}}\sin(xyz)\,dx\,dy\,dz$

Published on 01 Apr 2026 - 7:20

score 101 · Answer 12 · 2026-04-10 00:27:23

101

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Continued fraction: Closed form solution

Published on 10 Apr 2026 - 0:27

score 254 · Answer 13 · 2026-03-26 14:25:00

254

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On the cruelty of really solving hyperelliptic integrals

Published on 26 Mar 2026 - 14:25

score 58 · Answer 14 · 2026-04-10 21:24:23

58

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What's this distribution?

Published on 10 Apr 2026 - 21:24

score 122 · Answer 15 · 2026-04-04 07:53:40

122

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Closed form for $\left(-1\right)^{n}\sum_{k=0}^{n}\left(-1\right)^{k}\binom{n}{k}2^{\binom{k}{2}}$

Published on 04 Apr 2026 - 7:53

List Question

Is there a closed form for the binomial expression $\binom{-1/m}{k} $?

Closed-form for $\int_0^{\infty}(\sqrt[p]{x^p+1}-x)^p\,dx$, $p>\phi$; $\phi = (1+\sqrt{5})/2$

Roots of Hermite polynomials in closed form?

Finding a closed form for a given sequence

General substitution method for solving first order recurrence relations with non-linear coefficients

Closed-form for $\sum_k r^{k^2}$?

How to solve this geometric+arithmetic recurrence

Finding a closed form for $x_0 = c_0, x_1 = c_1, \dots, x_{m-1} = c_{m-1}$ with $x_{n} = ax_{n-m} + b$

Finding the closed form of a recursive formula using repeated substitution

Please help to continue the derivation of closed form of zeta function at odd integer values

Closed form $\int_{0}^{\frac{\pi}{2}}\int_{0}^{\frac{\pi}{2}}\int_{0}^{\frac{\pi}{2}}\sin(xyz)\,dx\,dy\,dz$

Continued fraction: Closed form solution

On the cruelty of really solving hyperelliptic integrals

What's this distribution?

Closed form for $\left(-1\right)^{n}\sum_{k=0}^{n}\left(-1\right)^{k}\binom{n}{k}2^{\binom{k}{2}}$

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