Problem 50953. Round up to π

To commemorate Pi Day (March 14 in the U.S.), compute the nth term in a sequence by starting with n, rounding up to the next multiple of n-1, rounding up to the next multiple of n-2, and so on to rounding up to the next multiple of 1. For example, with n = 8, you would get 14, 18, 20, 20, 21, 22, and—the element in the sequence—f(n) = 22.
Write a function that computes f(n), the nth term in this sequence. Also compute n^2/f(n) and notice its limit as n gets large. For more on this limit, see this page by K.S. Brown.
Solve

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73.53% Correct | 26.47% Incorrect
Last Solution submitted on May 02, 2024

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