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
USA
Abstract:
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.
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(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.
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