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add short explanation
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# Approach: Using Recursion + Memoization, Top Down Dynamic Programming
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#
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#
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# Algorithm: Dynamic Programming state transition.
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#
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# F(0) = 1
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# F(n)a = F(n-1)a + F(n-1)e + F(n-1)i + F(n-1)o +F(n-1)u
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# F(n)e = F(n-1)e + F(n-1)i + F(n-1)o + F(n-1)u
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# F(n)i = F(n-1)i + F(n-1)o +F(n-1)u
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# F(n)o = F(n-1)o + F(n-1)u
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# F(n)u = F(n-1)u
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#
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# @param {Integer} n
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# @return {Integer}
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