#17123: Extending binomial(n,k) to negative integers n, k.
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Reporter: pluschny | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-6.4
Component: combinatorics | Resolution:
Keywords: binomial | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by nbruin):
Maxima's documentation on the matter is silent, so I'd be hesitant to take
it as authoritative on the matter, but your proposed code is at odds with
maxima's for (n,n) with n negative (maxima gives zero in that case).
Deviating from maxima requires careful planning because expressions can
quite easily end up in maxima.
{{{
sage: [ (n,k) for n in [-10..10] for k in [-10..10] if BINOMIAL(n,k)
!=maxima_calculus.binomial(n,k)]
[(-10, -10),
(-9, -9),
(-8, -8),
(-7, -7),
(-6, -6),
(-5, -5),
(-4, -4),
(-3, -3),
(-2, -2),
(-1, -1)]
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/17123#comment:18>
Sage <http://www.sagemath.org>
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