Sierpinski Constant
Let r(n) denote the number of representations of 
by 
squares, then the Summatory Functionof 
has the Asymptotic expansion
where
is the Sierpinski constant. The above plot shows 
with the value of
indicated as the solid horizontal line.See also r(n)
References
Sierpinski, W. Oeuvres Choisies, Tome 1. Editions Scientifiques de Pologne, 1974.
- Cryptarithmetic
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