In combinatorial mathematics, the Lobb number Lm,n counts the ways that n + m open parentheses and n − m close parentheses can be arranged to form the start of a valid sequence of balanced parentheses. Lobb numbers form a natural generalization of the Catalan numbers, which count the complete strings of balanced parentheses of a given length.
In combinatorial mathematics, the Lobb number Lm,n counts the ways that n + m open parentheses and n − m close parentheses can be arranged to form the start of a valid sequence of balanced parentheses. Lobb numbers form a natural generalization of the Catalan numbers, which count the complete strings of balanced parentheses of a given length.
Source: Wikipedia "Lobb number" · CC BY-SA 4.0
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