# Definition:Stolarsky-Harborth Constant

## Definition

The Stolarsky-Harborth constant is the lower bound for the number $\beta$ defined as:

$\beta > \dfrac {P_n} {n^{\lg 3} }$

where:

$P_n$ is the number of odd elements in the first $n$ rows of Pascal's triangle
$\lg 3$ denotes the logarithm base $2$ of $3$.

Its value is given by:

$\beta \approx 0 \cdotp 81255 \, 65590 \, 160063 \, 8769 \ldots$

## Source of Name

This entry was named for Kenneth B. Stolarsky and Heiko Harborth.