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A peculiar function! (Posted on 2020-09-03) Difficulty: 4 of 5
f(n)=max{f(j)+f(n−j)+j}

Let f be a function from the set of positive integers to the set of non-negative integers such that f(1)=0 and f(n) is defined as of above for n≥2. Determine the value of f(2020).

Note: The maximum in the definition of f(n) is considered over all j such that 1≤j≤n−1, i.e for all j for which f(n) and f(n−j) are defined.

No Solution Yet Submitted by Danish Ahmed Khan    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
No SubjectOstin Cram2020-09-16 02:23:40
re: computer solution and a fitted polynomialCharlie2020-09-03 18:49:18
Solutioncomputer solution and a fitted polynomialCharlie2020-09-03 12:11:10
agreed Steven Lord2020-09-03 09:17:08
SolutionSolution.Larry2020-09-03 08:41:56
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