Hey all.

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Messing around with some open problems, but have come to my limit of tools (only reached algII in high school, still kicking my self 20 years later). I'm sure I can go further, I just don't know what kind of area to look for similar formulas.

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Basically what I have is a function f(n) that either satisfies a stated condition or not. If not, we rerun the result iff f(n)!=true, f(f(n)). etc. My formula also uses summation and I have little experience handling them (though i understand the notation and how to expand).

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The formula is similar to this (obfuscated because I'm pretending I'll actually get somewhere)

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f(n) = sum_(i=0)^(k) n^(k-i) * (floor((k/n^i)) (k/n^(i-1))

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Please excuse my bad latex formatting.

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n and k are both integers. and the goal is to find the value of k for each n.

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Thanks in advance for your help redditors!