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.
- Riemannian Geometry
- Riemannian Geometry (Non-Euclidean)
- Riemannian Manifold
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- Riemann Integral
- Riemann-Lebesgue Lemma
- Riemann-Mangoldt Function
- Riemann Mapping Theorem
- Riemann P-Differential Equation
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- Riemann Weighted Prime-Power Counting Function