Journal of Integer Sequences, Vol. 10 (2007), Article 07.7.2

Asymptotics for Lacunary Sums of Binomial Coefficients and a Card Problem with Ranks

Tamás Lengyel
Mathematics Department
Occidental College
1600 Campus Road
Los Angeles, CA 90041


We find asymptotics for lacunary sums of binomial coefficients. As an application we determine the exact and approximate probability that the first card has the uniquely highest rank among the top l cards of a standard card deck.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A002412 A112742 and A116689 .)

Received April 14 2007; revised version received July 2 2007. Published in Journal of Integer Sequences, July 4 2007.

Return to Journal of Integer Sequences home page