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单词 p-Good Path
释义

p-Good Path

A Lattice Path from one point to another is -good if it lies completely below the line


Hilton and Pederson (1991) show that the number of -good paths from (1, ) to (, ) under the condition is


where is a Binomial Coefficient, and


where is the Floor Function.

See also Catalan Number, Lattice Path, Schröder Number


References

Hilton, P. and Pederson, J. ``Catalan Numbers, Their Generalization, and Their Uses.'' Math. Intel. 13, 64-75, 1991.


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