If out of necessity one is forced to translate a program from
Mathematica to Maple then (of course) this will not work either.

restart; with (MmaTranslator):
convert((Pochhammer[n-k+1, k]/(k!)*Sum[(-1)^j*Sum[Product[(2^(i+m)-1)/(2^i-1), {i, 1, n-k-m-j}], {m, 0, n-k-j}]*Binomial[n-k, j], {j, 0, n-k}]), FromMma);
simplify(%);

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On Sunday, October 8, 2023 at 3:59:01 PM UTC-4, [email protected] wrote:

If out of necessity one is forced to translate a program from
Mathematica to Maple then (of course) this will not work either.

restart; with (MmaTranslator):
convert((Pochhammer[n-k+1, k]/(k!)*Sum[(-1)^j*Sum[Product[(2^(i+m)-1)/(2^i-1), {i, 1, n-k-m-j}], {m, 0, n-k-j}]*Binomial[n-k, j], {j, 0, n-k}]), FromMma);
simplify(%);

The Help page for convert(..., FromMma) states the following in fourth bullet point of its Description section:
"If you are using the Maple command prompt, the Mathematica input to be translated Mma_input must be enclosed in double quotes (") or left single (`) quotes."

Where are such quotes around the Mathematica input, in your code?

https://www.maplesoft.com/support/help/maple/view.aspx?path=MmaTranslator%2FFromMma

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acer: The Help page ...

Ha!

(1) Maple gives an answer which does not indicate that there
was a wrong parameter type; on the contrary, the answer looks
quite reasonable at first sight.

pochhammer(n - k + 1, k)*sum((-1)^j*sum(product((2^(i + m) - 1)/(2^i - 1),
1 = i .. n - k - m - j), 0 = m .. n - k - j)*binomial(n - k, j), 0 = j .. n - k)/k!

So no help here!

(2) Then, when using simplify(%), the error message:

Error, (in product) product variable previously assigned,
2nd argument evaluates to 1 = i .. n-k-m-j

Yes, but this error message should actually be addressed to
Maple, right?

Anyway, the error message is 'clickable' (Maple says it is the
specialist for 'clickable math'), so one clicks.

(3) Next one sees:

There is no help page available for this error.
Sorry, we do not have specific information about your error.

So we don't see any real help, either interactively or afterwards.

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