Floor sum

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bole79
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Joined: Fri Nov 29, 2019 10:53 am

Floor sum

Post by bole79 » Fri Nov 29, 2019 11:37 am

I've noticed Graham, Knuth (Concrete Mathematics, 2nd ed., p. 86) show how to do sum(floor(sqrt(k)), 0 <= k < n). Did anybody try and tackle sum(floor(sqrt(k (r / 2 - k))), 0 < k < r / 2)? This would actually solve a particular PE problem in closed form.
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