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For a given Mathematica program that generates a sequence x of integers, is it possible to also generate equal length sequences of integers that were used internally by the Mathematica kernel to generate x?

For example for an OEIS sequence: oeis.org/A052104, the Mathematica code on that page has a formula that creates the integer sequence for A052104, internally the Mathematica kernel would also create other integer sequences to generate the A052104 sequence, ie there is a term in the formula m!/n!, so there should be three integer sequences: m!, n! and m!/n! that are used internally by the Mathematica kernel. I'd like a way to have a list of all the integer sequences and their formulas.

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  • $\begingroup$ I've read this five times. I still have no idea what you're asking. $\endgroup$
    – ciao
    Sep 25, 2019 at 18:58
  • $\begingroup$ updated the question with an example $\endgroup$
    – Jamie M
    Sep 25, 2019 at 19:52
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    $\begingroup$ Look at Reap and Sow, use them to enclose the terms you're interested in... $\endgroup$
    – ciao
    Sep 25, 2019 at 20:05
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    $\begingroup$ I'm voting to close this question as off-topic because the OP is asking for functionality that is not supported given the constraints the OP is putting on the solution. $\endgroup$
    – m_goldberg
    Sep 25, 2019 at 23:58
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    $\begingroup$ Wrapping the code with Trace and processing it further might yield what you seek for. $\endgroup$
    – Henrik Schumacher
    Oct 6, 2019 at 15:19

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