List questions from square-numbers | MathQA

Prove that $\lfloor {(\frac{\sqrt{5}+1}{2})}^{4n-2}\rfloor-1$ is a square number where $n$ is a natural number.

Published on 27 Mar 2026 - 22:57

Proving $\left\lfloor(\frac{1+\sqrt{5}}{2})^{4n+2}\right\rfloor-1$ is a perfect square for $n=0,1,2,\ldots$

Published on 27 Mar 2026 - 22:57

Mathematic rule about square numbers

Published on 18 Jan 2023 - 21:10

Does for every $n>1$ exist a sum of $n$ squares of consecutive natural numbers, that equals to the sum of squares of next $n-1$ consecutive numbers?

Published on 30 Mar 2026 - 11:40