Geodesic
Asymptotics for Lacunary sums of binomial coefficients and a card problem with ranks
Journal of integer sequences, Tome 10 (2007) no. 7
Zbl   EuDML
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.
Classification : 05A10, 05A16, 11B68
Keywords: lacunary sum, asymptotic enumeration, Bernoulli numbers 
Lengyel,  Tamás. Asymptotics for Lacunary sums of binomial coefficients and a card problem with ranks. Journal of integer sequences, Tome 10 (2007) no. 7. http://geodesic.mathdoc.fr/item/JIS_2007__10_7_a3/
@article{JIS_2007__10_7_a3,
     author = {Lengyel,  Tam\'as},
     title = {Asymptotics for {Lacunary} sums of binomial coefficients and a card problem with ranks},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {7},
     zbl = {1141.05008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_7_a3/}
}
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