Journal of Integer Sequences, Vol. 16 (2013), Article 13.3.7 |

Department of Mathematics

University of Illinois at Urbana-Champaign

1409 W. Green St.

Urbana, IL 61801

USA

**Abstract:**

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.

(Concerned with sequences A002487 A007318.)

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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