Nils Bruin> "It may well be (and that is what the ticket indicates 
too) that sage's documentation does not agree with common 
mathematical convention."

The standard common mathematical use of various types of 
multifactorials is well documented in the OEIS.

But what also is well documented in the OEIS is that the notation
for multifactorials can be very confusing and that the namings
used are not standardized and are even more confusing.

But at bottom things are of course very simple: What is needed
is just a common basic definition from which all special cases are
derived. How this could be done is outlined in an old post of mine
on the OEIS-Wiki [1]. I can well imagine making this a general
multifactorial function in SageMath.

Cheers Peter

[1] http://oeis.org/wiki/User:Peter_Luschny/Multifactorials

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