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combinat[firstpart] - first partition in canonical partition sequence
combinat[nextpart] - next partition in canonical partition sequence
combinat[lastpart] - last partition in canonical partition sequence
combinat[prevpart] - previous partition in canonical partition sequence
Calling Sequence
firstpart(n)
nextpart(l)
lastpart(n)
prevpart(l)
Parameters
l
-
partition; non-decreasing list of positive integers
n
positive integer
Description
All four of the functions use the canonical partition sequence defined by combinat[encodepart].
Given a positive integer n, firstpart(n) computes and returns the first partition of n in the canonical partition sequence.
Given a partition l of n, nextpart(l) computes and returns the next partition of n in the canonical partition sequence.
Given a positive integer n, lastpart(n) computes and returns the last partition of n in the canonical partition sequence.
Given a partition l of n, prevpart(l) computes and returns the previous partition of n in the canonical partition sequence.
Examples
See Also
combinat[encodepart], combinat[inttovec], combinat[numbpart], combinat[partition], combinat[randpart]
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