How can I transform this sequence: "0-1-2-4-8-18-44" into this one: "0-1-2-3-4-5-6"?

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How can I transform this sequence: "0-1-2-4-8-18-44" into this one: "0-1-2-3-4-5-6"?
We can consider the numbers on the first sequence as rational numbers if you want