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RecurrenceTable

Generate a table of values from a recurrence relation. The range may be given as {n, nmax} (starting from 1) or {n, nmin, nmax}.

$ wo 'RecurrenceTable[{a[n] == a[n-1] + a[n-2], a[1] == 1, a[2] == 1}, a, {n, 10}]'
{1, 1, 2, 3, 5, 8, 13, 21, 34, 55}