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Obtain the General Formula for Power Series Coefficients
Obtain a general formula for a power series coefficient based on a truncated series.
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Click for copyable input
CoefficientList[Series[Exp[x^3 + x + 1/(x + 1)], {x, 0, 20}], x]
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In[2]:=

Click for copyable input
CoefficientList[Series[Exp[x^3 + x + 1/(x + 1)], {x, 0, 20}], x];

FindSequenceFunction[%, n]
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In[3]:=

Click for copyable input
CoefficientList[Series[Exp[x^3 + x + 1/(x + 1)], {x, 0, 20}], x];

FindSequenceFunction[%, n];

CoefficientList[Series[Exp[x^3 + x + 1/(x + 1)], {x, 0, 50}], x] - 

 Table[%, {n, 51}]
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