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According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways - some simple, some complicated but all equally valid.

So, one possible solution to the question is

T(n) = (n4 - 6*n3 + 23*n2 - 18*n + 24)/12 for n = 1, 2, 3, ...

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6y ago
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Q: What is the algebraic expression that describes the sequence 2 4 8 16 32?
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