List questions from recreational-mathematics

Published on 25 Apr 2026 - 15:45

474

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Closed-form for $B=\lim_{n\to\infty}\sum_{a_1=1}^{\infty}\frac{1}{a_1^2}\sum_{a_2=1}^{a_1}\frac{1}{a_2^2}\cdots\sum_{a_n=1}^{a_{n-1}}\frac{1}{a_n^2}$?

Published on 17 Apr 2026 - 9:38

118

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Existence of a certain composition series for the group $2^{\mathbb Z / 2^n \mathbb Z}$

Published on 16 Apr 2026 - 20:02

84

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How does linear transformation preserves solution of equations?

Published on 09 Apr 2026 - 13:52

106

Views

Minimum area ellipse passing through the vertices of an isosceles trapezoid

Published on 05 May 2026 - 17:10

99

Views

Strange/Unexpected behavior of an Infinite product

Published on 12 Apr 2026 - 4:12

183

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If $\frac{(1+x)^2}{1+x^2}=\frac{13}{37}$, then find the value of $\frac{(1+x)^3}{1+x^3}$

Published on 17 Apr 2026 - 5:59

80

Views

Is it possible for a nonnormal magic square to have the same magic constant as a normal magic square of the same order?

Published on 11 Apr 2026 - 10:48

49

Views

Unusual definition of the sphere $S^n$

Published on 11 Apr 2026 - 21:20

63

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The phenomenon of exceptions for small values

Published on 09 Apr 2026 - 20:23

99

Views

Big Matrix Small Determinant

Published on 13 Apr 2026 - 23:16

354

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Series Representation of the Glasser function: $\text G(x)\mathop=\limits^\text{def} \int_0^x \sin(t\sin(t))dt\sim2\sqrt{\frac x\pi}$

Published on 15 Apr 2026 - 22:59

38

Views

Long-term behavior of closed two-player Elo system

Published on 11 Apr 2026 - 18:19

443

Views

Range $[n,2n]$ containing smallest positive integer $x$ such that $x^x$ contains digits $2016$ in a row

Published on 17 Apr 2026 - 6:22

93

Views

Solving quartic equation with square roots

Published on 13 Apr 2026 - 15:37

List Question

What is a negative inversion?

Closed-form for $B=\lim_{n\to\infty}\sum_{a_1=1}^{\infty}\frac{1}{a_1^2}\sum_{a_2=1}^{a_1}\frac{1}{a_2^2}\cdots\sum_{a_n=1}^{a_{n-1}}\frac{1}{a_n^2}$?

Existence of a certain composition series for the group $2^{\mathbb Z / 2^n \mathbb Z}$

How does linear transformation preserves solution of equations?

Minimum area ellipse passing through the vertices of an isosceles trapezoid

Strange/Unexpected behavior of an Infinite product

If $\frac{(1+x)^2}{1+x^2}=\frac{13}{37}$, then find the value of $\frac{(1+x)^3}{1+x^3}$

Is it possible for a nonnormal magic square to have the same magic constant as a normal magic square of the same order?

Unusual definition of the sphere $S^n$

The phenomenon of exceptions for small values

Big Matrix Small Determinant

Series Representation of the Glasser function: $\text G(x)\mathop=\limits^\text{def} \int_0^x \sin(t\sin(t))dt\sim2\sqrt{\frac x\pi}$

Long-term behavior of closed two-player Elo system

Range $[n,2n]$ containing smallest positive integer $x$ such that $x^x$ contains digits $2016$ in a row

Solving quartic equation with square roots

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