Question

Is there a closed form for the product of odd zetas?

score 111 · Answer 1 · 2026-03-29 20:05:39

111

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Is there a closed form for the product of odd zetas?

Published on 29 Mar 2026 - 20:05

score 463 · Answer 2 · 2015-12-24 01:46:24

463

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Closed form to an interesting series: $\sum_{n=1}^\infty \frac{1}{1+n^3}$

Published on 24 Dec 2015 - 1:46

score 158 · Answer 3 · 2015-12-24 15:44:57

158

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Closed form of a generating function $\sum _{n=1}^\infty x^{n^2}$

Published on 24 Dec 2015 - 15:44

score 479 · Answer 4 · 2026-03-28 23:16:40

479

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closed form of $\sum_{k=0}^n {2n\choose 2k}2^k$

Published on 28 Mar 2026 - 23:16

score 144 · Answer 5 · 2026-03-28 23:16:40

144

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Calculating the value of $\lfloor(1+\sqrt{2})^{2n}\rfloor$

Published on 28 Mar 2026 - 23:16

score 73 · Answer 6 · 2015-12-25 00:26:15

73

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What is the equation of $F(x)$, given the outputs?

Published on 25 Dec 2015 - 0:26

score 157 · Answer 7 · 2015-12-25 13:50:07

157

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Closed form for $\sum_{k=1}^n\frac{1}{(2k-1)(2k+1)}$

Published on 25 Dec 2015 - 13:50

score 183 · Answer 8 · 2015-12-26 12:54:42

183

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Solving this indefinite integral: $\int{\frac{x\:dx} {(\sqrt{1+x} +\sqrt[3]{1+x} )}} $

Published on 26 Dec 2015 - 12:54

score 43 · Answer 9 · 2015-12-27 15:58:33

43

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What is the closed form of this series: $\sum_{n\geq 1}\frac{n^k{(-1)}^{n+1}}{n!}$ for $k<-10$ and for $k>1$?

Published on 27 Dec 2015 - 15:58

score 1.1k · Answer 10 · 2015-12-27 17:26:38

1.1k

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Evaluating $\int_0^{+\infty}(\frac{\arctan t}{t})^2dt$

Published on 27 Dec 2015 - 17:26

score 133 · Answer 11 · 2015-12-28 18:35:47

133

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Is there a closed form for $n^k$ in terms of $\Delta n^{k+1},\Delta n^k$, ...?

Published on 28 Dec 2015 - 18:35

score 2.2k · Answer 12 · 2015-12-29 23:41:04

2.2k

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Need help with $\int_0^\pi\arctan^2\left(\frac{\sin x}{2+\cos x}\right)dx$

Published on 29 Dec 2015 - 23:41

score 335 · Answer 13 · 2015-12-30 12:56:50

335

Views

Mistake in the closed-form formula for the number of restricted compositions?

Published on 30 Dec 2015 - 12:56

score 788 · Answer 14 · 2015-12-30 19:48:25

788

Views

Is there a closed form expression for the "generalized" addition of the first $n$ numbers?

Published on 30 Dec 2015 - 19:48

score 13.8k · Answer 15 · 2015-12-31 19:11:12

13.8k

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Integral ${\large\int}_0^{\pi/2}\arctan^2\!\left(\frac{\sin x}{\sqrt3+\cos x}\right)dx$

Published on 31 Dec 2015 - 19:11

List Question

Is there a closed form for the product of odd zetas?

Closed form to an interesting series: $\sum_{n=1}^\infty \frac{1}{1+n^3}$

Closed form of a generating function $\sum _{n=1}^\infty x^{n^2}$

closed form of $\sum_{k=0}^n {2n\choose 2k}2^k$

Calculating the value of $\lfloor(1+\sqrt{2})^{2n}\rfloor$

What is the equation of $F(x)$, given the outputs?

Closed form for $\sum_{k=1}^n\frac{1}{(2k-1)(2k+1)}$

Solving this indefinite integral: $\int{\frac{x\:dx} {(\sqrt{1+x} +\sqrt[3]{1+x} )}} $

What is the closed form of this series: $\sum_{n\geq 1}\frac{n^k{(-1)}^{n+1}}{n!}$ for $k<-10$ and for $k>1$?

Evaluating $\int_0^{+\infty}(\frac{\arctan t}{t})^2dt$

Is there a closed form for $n^k$ in terms of $\Delta n^{k+1},\Delta n^k$, ...?

Need help with $\int_0^\pi\arctan^2\left(\frac{\sin x}{2+\cos x}\right)dx$

Mistake in the closed-form formula for the number of restricted compositions?

Is there a closed form expression for the "generalized" addition of the first $n$ numbers?

Integral ${\large\int}_0^{\pi/2}\arctan^2\!\left(\frac{\sin x}{\sqrt3+\cos x}\right)dx$

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