Definition:Stolarsky-Harborth Constant

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

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


$P_n$ 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:

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

This sequence is A077464 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

Also see

Source of Name

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