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Mathematics of Computation

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Infinite families of solutions of the equation $\binom {n}{k}=2\binom {a}{b}$

Author: P. Goetgheluck
Journal: Math. Comp. 67 (1998), 1727-1733
MSC (1991): Primary 11B65, 11Y50, 11B37
MathSciNet review: 1604328
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Abstract: We give explicit formulas providing two new infinite families of couples of binomial coefficients whose ratio is 2.

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P. Goetgheluck
Affiliation: Université de Paris-Sud, Mathématiques, Bat 425, 91405 Orsay Cedex, France

Received by editor(s): May 29, 1996
Received by editor(s) in revised form: October 7, 1996
Article copyright: © Copyright 1998 American Mathematical Society