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Questions on specifying order in and splicing of lists, including use of Mathematica Sequence objects.
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Finding recurrence relation from an inexact numerical sequence
Consider the recurrence relationship
d[0] = 0;
d[i_] := (1 + Sqrt[1 + 4 d[i - 1]^2])/2 /; i >= 1
which generates the following sequence (generated by using Table[d[i], {i, 0, 50}] // N):
Table1 = {0., …