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On Divisibility Properties Of Some Differences Of The Central Binomial Coefficients And Catalan Numbers, Tamas Lengyel
On Divisibility Properties Of Some Differences Of The Central Binomial Coefficients And Catalan Numbers, Tamas Lengyel
Tamas Lengyel
We discuss divisibility properties of some differences of the central binomial coeffi- cients and Catalan numbers. The main tool is the application of various congruences modulo high prime powers for binomial coefficients combined with some recurrences relevant to these combinatorial quantities.