Definition:Self-Locating Number in Pi

Definition

A natural number $n$ is self-locating in $\pi$ if it can be found starting at the $n$th decimal place in the decimal expansion of $\pi$.

Sequence

The sequence of self-locating numbers in $\pi$ starts:

$1, 16 \, 470, 44 \, 899, 79 \, 873 \, 884, 711 \, 939 \, 213, 36 \, 541 \, 622 \, 473, 45 \, 677 \, 255 \, 610, 62 \, 644 \, 957 \, 128, 656 \, 430 \, 109 \, 694$

Also see

• Results about self-locating numbers in $\pi$ can be found here.

Sources

• 2005: Clifford A. Pickover: A Passion for Mathematics ... (next): Cool Numbers: Self-location and $\pi$