Distribution of Values of the Binomial Coefficients and the Stern Sequence
Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green St.
Urbana, IL 61801
The distribution of values in a sequence, as seen in counting the
number of terms larger than a scalar times the average value, is applied
to the the Stern sequence and the binomial coefficients. We also show
that the suitably scaled logarithms of
converges to a distribution, and prove an implicit formula for the convergent function. We leave an open problem regarding the distribution of the Stern sequence.
Full version: pdf,
(Concerned with sequences
Received September 18 2012;
revised version received January 25 2013; February 22 2013.
Published in Journal of Integer Sequences, March 2 2013.
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