Symbolic method (combinatorics): Difference between revisions

Revision as of 08:49, 15 September 2004

Revision as of 21:57, 15 September 2004

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:<math>P(z) = \exp \left ( I(z) + \frac{1}{2} I(z^{2}) + \frac{1}{3} I(z^{3}) + \cdots \right ) </math>

Unfortunately, there is no closed form for <math>P(z)</math>; however, the OGF can be used to derive a [[recurrence relation]], or, using more advanced methods of analytic combinatorics, calculate the [[asymptotic analysis|asymptotic behavior]] of the counting sequence.

==Labelled structures==

===Product===

===Sequence===

===Set===

===Cycle===

===Other elementary constructions===

===Examples===

[[Category:combinatorics]]