Question

In simple terms what is the sequence 220,171700,167167000,166716670000 a part of?

score 258 · Answer 1 · 2014-01-07 21:39:07

258

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In simple terms what is the sequence 220,171700,167167000,166716670000 a part of?

Published on 07 Jan 2014 - 21:39

score 180 · Answer 2 · 2014-01-08 21:32:09

180

Views

How many digits do we need for a proof ??

Published on 08 Jan 2014 - 21:32

score 178 · Answer 3 · 2017-05-06 18:45:56

178

Views

How can we show that $\int_{-1}^{1}{1\over x}\sqrt{1+x\over 1-x}\ln\left({1-x+2x^3\over 1+x-2x^3}\right)dx=2\pi arccot\left(2\sqrt{\phi^3}\right)?$

Published on 06 May 2017 - 18:45

score 97 · Answer 4 · 2017-05-07 16:48:58

97

Views

Set conjectures concerning the asymptotic behaviour of erratic arithmetic functions, related to the Möbius function and the Liouville function

Published on 07 May 2017 - 16:48

score 494 · Answer 5 · 2026-03-07 16:52:55

494

Views

Convergence acceleration technique for $\zeta(4)$ (or $\eta(4)$) via creative telescoping?

Published on 07 Mar 2026 - 16:52

score 187 · Answer 6 · 2017-06-18 17:15:36

187

Views

Can we identify the limit of this arithmetic/geometric mean like iteration?

Published on 18 Jun 2017 - 17:15

score 290 · Answer 7 · 2017-07-30 10:46:12

290

Views

Does this normalization of the Riemann zeta function make sense?

Published on 30 Jul 2017 - 10:46

score 72 · Answer 8 · 2017-08-13 15:08:36

72

Views

About the study of an arithmetic function with peculiar behaviour

Published on 13 Aug 2017 - 15:08

score 35 · Answer 9 · 2017-08-25 20:37:42

35

Views

Sequences of the form $\frac{(a(n))^{b(n)}-1}{a(n)-1}$ as generators of primes: specify when such sequence is rich in primes and provide us an example

Published on 25 Aug 2017 - 20:37

score 135 · Answer 10 · 2017-08-30 10:19:31

135

Views

Generalised of $\pi={\prod_{n=1}^{\infty}\left(1+{1\over 4n^2-1}\right)\over \sum_{n=1}^{\infty}{1\over 4n^2-1}}$ in term of Fibonacci number

Published on 30 Aug 2017 - 10:19

score 231 · Answer 11 · 2017-10-10 11:36:20

231

Views

A fun fact relating to Goldbach Conjecture

Published on 10 Oct 2017 - 11:36

score 210 · Answer 12 · 2017-10-10 15:58:17

210

Views

The $\operatorname{rad}(3x+1)$ problem, where $\operatorname{rad}(n)$ is the radical of an integer

Published on 10 Oct 2017 - 15:58

score 150 · Answer 13 · 2017-10-13 10:13:47

150

Views

Has the diophantine equation $z^2+zx=2x^2y$ infinitely many solutions over integers $x,y,z\geq 2$?

Published on 13 Oct 2017 - 10:13

score 52 · Answer 14 · 2017-10-23 02:35:38

52

Views

Can someone check something for me in the computational sense?

Published on 23 Oct 2017 - 2:35

score 397 · Answer 15 · 2017-10-25 18:53:11

397

Views

Origin of rapidly converging sequence for $e^\pi$

Published on 25 Oct 2017 - 18:53

List Question

In simple terms what is the sequence 220,171700,167167000,166716670000 a part of?

How many digits do we need for a proof ??

How can we show that $\int_{-1}^{1}{1\over x}\sqrt{1+x\over 1-x}\ln\left({1-x+2x^3\over 1+x-2x^3}\right)dx=2\pi arccot\left(2\sqrt{\phi^3}\right)?$

Set conjectures concerning the asymptotic behaviour of erratic arithmetic functions, related to the Möbius function and the Liouville function

Convergence acceleration technique for $\zeta(4)$ (or $\eta(4)$) via creative telescoping?

Can we identify the limit of this arithmetic/geometric mean like iteration?

Does this normalization of the Riemann zeta function make sense?

About the study of an arithmetic function with peculiar behaviour

Sequences of the form $\frac{(a(n))^{b(n)}-1}{a(n)-1}$ as generators of primes: specify when such sequence is rich in primes and provide us an example

Generalised of $\pi={\prod_{n=1}^{\infty}\left(1+{1\over 4n^2-1}\right)\over \sum_{n=1}^{\infty}{1\over 4n^2-1}}$ in term of Fibonacci number

A fun fact relating to Goldbach Conjecture

The $\operatorname{rad}(3x+1)$ problem, where $\operatorname{rad}(n)$ is the radical of an integer

Has the diophantine equation $z^2+zx=2x^2y$ infinitely many solutions over integers $x,y,z\geq 2$?

Can someone check something for me in the computational sense?

Origin of rapidly converging sequence for $e^\pi$

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