Thales’ triangles

The terms of the Virahanka–Fibonacci sequence \((V(n))_{n\ge0}\) ( OEIS A000045 , shifted to start with \(V(0)=1\) instead of 0 ) count t...

The number \(5\) can be written in eight ways as a sum of \(1\)s and \(2\)s (in which order matters): \[ 1+1+1+1+1,\; 1+1+1+2,\; 1+1+2+1,...

Academic grades, as conventionally understood and used, have three distinct audiences, and they serve a different function for each audience...

In my previous post I defined the ordered Virahanka numbers $V_{m,n}$ and the unordered Virahanka numbers $U_{m,n}$ recursively by \...

Last fall, I learned the names of Pingala and Hemachandra from a blog post by James Propp . Both have been described as poets and mathe...

Start with the geometric series: \[ \sum_{n=0}^\infty z^n = 1 + z + z^2 + z^3 + \cdots\text. \] If $z$ is not a real number, the partial...

For those reading in the future, this is the week that the reality of the COVID-19 (coronavirus) pandemic struck the U.S. Hundreds of scho...