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The Trapped Knight

The Trapped Knight problem is a chess-based problem apparently invented by Neil Sloane and giving rise to a finite number sequence in his Online Encyclopedia of Integer Sequences (OEIS A316667).

PyValem: a Python package for parsing chemical formulas and states

PyValem is a Python package, for parsing, representing and manipulating the formulas of simple chemical species, their states and reactions. Its source is available on GitHub under a GPL licence, and it can be installed from the Python Package Index, PyPI, using pip:

Recamán's sequence

The Recamán sequence is a famous sequence invented by the Colombian mathematician, Bernardo Recamán Santos. It is defined by the following algorithm, starting at $a_0 = 0$:

The Möbius function and the Mertens conjecture

This blog post was inspired by Holly Krieger's video for Numberphile.

Searching for pi-mnemonic strings in a text

Piphilology comprises the creation and use of mnemonic techniques to remember a span of digits of the mathematical constant $\pi$. One famous technique, attributed to the physicist James Jeans uses the number of letters in each word of the sentence: