This is a programming question I've come across recently and it requires me to find this sum as quickly as possible since n can become very large (up to 10100 inclusive). So far I've tried to write the first few terms but I can't seem to find a formula for this sum.
2026-03-27 12:20:18.1774614018
Calculating $ \sum_{k=1}^n \lfloor k * \sqrt 2\rfloor $
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