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0 N (2n-2)! n ! (n + r) !'
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Let
F (n + r) = (2n-2)! /n!.(n + r)!
*Balakram has proved that F (n) is an integer for an infinity of values of .n. The object of this note is to show that when r is any fixed positive integer, F (n + r) is also an integer for infinitely many values of n.
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