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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
The s(n) function appears to double count roots of perfect square numbers. Is it just luck that perfect squares do not satisfy the buddy criteria, or is it implied by the math in some way?