Question: Python programming: The Catalan numbers C n are a sequence of integers 1, 1, 2, 5, 14, 42, 132. . . that play an important

Python programming:

The Catalan numbers Cn are a sequence of integers 1, 1, 2, 5, 14, 42, 132. . . that play an important role in quantum mechanics and the theory of disordered systems. (They were central to Eugene Wigners proof of the so-called semicircle law.) They are given by

C₀= 1, C_n+1= (4n + 2)/(n + 2) C_n

Write a program that prints in increasing order all Catalan numbers less than or equal to one billion.

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