What is the next term in the sequence?
1, 1, 2, 3, 5, 8, 18, 34, 60, 120, 214, 394, 788
"mapping" is a valid hint, but would probably confuse more than help
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Each term is the sum of the last $k$ terms, but $k$ varies as the sequence progresses. Values of $k$ are: $0,0,2,2,2,2,4,4,3,4,3,3,4$. I am yet to determine how these values are formed. The next term is probably the sum of the last 3 terms (1396) or the last 4 terms (1516).