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XYYXF · 2007-11-07, 22:53

Have you ever looked at its decimal expansion?

It appears to be

$a - a^{-1} - \frac12 a^{-3} - \frac12 a^{-5} - \frac58 a^{-7} - \frac78 a^{-9} - \frac{21}{16} a^{-11} - \frac{33}{16} a^{-13} - \frac{429}{128} a^{-15} - \frac{715}{128} a^{-17} - ...$

where a = 1000.

Curious!

2007-11-07, 22:53	#1
XYYXF Jan 2005 Minsk, Belarus 2⁴×5² Posts	*127Sqrt(62)** Have you ever looked at its decimal expansion? It appears to be $a - a^{-1} - \frac12 a^{-3} - \frac12 a^{-5} - \frac58 a^{-7} - \frac78 a^{-9} - \frac{21}{16} a^{-11} - \frac{33}{16} a^{-13} - \frac{429}{128} a^{-15} - \frac{715}{128} a^{-17} - ...$ where a = 1000. Curious!