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I believe you are referring to one of the many listed ways to define https://oeis.org/A001105 , which is even more succinctly expressed as a(n) = 2*n^2. This is the answer I thought you wanted, and which I was avoiding saying. My underlying point is your sequence was under-specified, and with no clear reason to pick your preferred answer over other answers. Even knowing it's chemistry, three finite sequences which match your specification are: 2, 8, 18, 32, 18, 8, 2
2, 8, 18, 32, 21, 9, 2
2, 8, 18, 32, 32, 14, 2
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