For questions about recurrence relations, convergence tests, and identifying sequences. For questions on finite sums use the (summation) instead.

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Having no derangements — any advantage?

Is there any problem-solving advantage when a sequence has no derangements? Edit Perhaps the non-derangements are just a by-product of the argument that we find primes in $(m-k,k] \iff k|m$? In an ...
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conjectured arithmetic properties of some continued fraction

Given the continued fraction found in this post,bearing a striking resemblance to the one in this post $$G(q)=\cfrac{1}{1-q+\cfrac{q(1-q)^2}{1-q^3+\cfrac{q(1-q^2)^2}{1-q^5+\cfrac{q(1-q^3)^2}{1-q^7+\...