Maxima Function
belln (n)
Represents the n-th Bell number.
belln(n)
is the number of partitions of a set with n members.
For nonnegative integers n,
belln(n)
simplifies to the n-th Bell number.
belln
does not simplify for any other arguments.
belln
distributes over equations, lists, matrices, and sets.
Examples:
belln
applied to nonnegative integers.
(%i1) makelist (belln (i), i, 0, 6); (%o1) [1, 1, 2, 5, 15, 52, 203] (%i2) is (cardinality (set_partitions ({})) = belln (0)); (%o2) true (%i3) is (cardinality (set_partitions ({1, 2, 3, 4, 5, 6})) = belln (6)); (%o3) true
belln
applied to arguments which are not nonnegative integers.