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0 N (2n-2)! n ! (n + r) !'


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1 Annamalai University, India
     

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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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  • 0 N (2n-2)! n ! (n + r) !'

Abstract Views: 435  |  PDF Views: 0

Authors

P. Jagannathan
Annamalai University, India

Abstract


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.