The Catalan numbers give the number of ways to tile an n-sized stair case with exactly n rectangles.

The Catalan numbers give the number of ways to tile an n-sized stair case with exactly n rectangles.

Catalan number 4x4 grid example.svg

Catalan number 4x4 grid example.svg

910 is the generalized Catalan number C(11,4).

910 is the generalized Catalan number C(11,4).

An Introduction to Catalan Numbers ( Compact Textbooks in Mathematics) (Hardcover)

An Introduction to Catalan Numbers ( Compact Textbooks in Mathematics) (Hardcover)

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The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics (University Lecture Series)

The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics (University Lecture Series)

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