#17157: Improve formula for Bell numbers
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Reporter: jdemeyer | Owner:
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-6.4
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jdemeyer/ticket/17157 | 0266cef42895b095b8c7eca5718a1466300e1304
Dependencies: | Stopgaps:
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Comment (by fredrik.johansson):
You can just compute the sum in Dobinski's formula as an exact fraction
(keeping the numerator and denominator separate, not actually dividing
rational numbers by successive factorials). Indeed this is what flint does
for n < 5000 (for larger n it uses a multimodular algorithm). This
simplifies the error analysis.
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Ticket URL: <http://trac.sagemath.org/ticket/17157#comment:10>
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