Sierpiński's constant

Sierpiński's constant

Sierpiński's constant is a mathematical constant usually denoted as "K". One way of defining it is by limiting the expression:

:K=lim_{n o infty}left [sum_{k=1}^{n}{r_2(k)over k} - piln n ight]

where "r"2("k") is a number of representations of "k" as a sum of the form "a"2 + "b"2 for natural "a" and "b".

Its value is approximately::"K" ≈ 2.58498 17595 79253 21706 58936

See also

* Wacław Sierpiński

External links

* http://www.scenta.co.uk/tcaep/science/constant/details/sierpinskisconstant.xml
* http://pi.lacim.uqam.ca/piDATA/sierpinski.txt - Sierpiński's constant up to 2000th decimal digit.
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