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Template:Sequence of the Day for September 14

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Intended for: September 14, 2011

Timetable

  • First draft entered by Alonso del Arte on May 30, 2011 as an almost verbatim copy of a write-up from December 14, 2010 ✓
  • Draft reviewed by Alonso del Arte on August 11, 2011
  • Draft approved by Daniel Forgues on September 13, 2012
Yesterday's SOTD * Tomorrow's SOTD

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A093341: Decimal expansion of “lemniscate case.”

1.8540746773013719...

In the preface for A Dictionary of Real Numbers, the Borwein brothers credit Carl Friedrich Gauß realizing “that the number 1.85407467... is (essentially) a rational value of an elliptic integral” as a watershed moment “in the development of nineteenth century analysis.” The numerical lexicographers then go on to wonder how modern researchers, lacking what Gauß had (“phenomenal insight and a prodigious memory”), can also come to such an epiphany. That is the point of their book, and also that of the OEIS.