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Consider the 7 magical squares in the diagram below.

Suppose person A is thinking of a number between 0 and 26.

She tells person B the colours of the magical ...

I love counting problems and here is one of my favourites. How many triangles can be made using the vertices and edges of the diagram below such that it is ...

How many distinct equilateral triangles can we count in the diagram below such that

I have been playing with the recurrence relation

\[ p_n = np_{n-1} + p_{n-2} \] such that \( p_0 = 0 , p_1 = 1 \).

I have found a few interesting difference forms for it but ...

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