Template:Sequence of the Day for September 14

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

The line below marks the end of the <noinclude> ... </noinclude> section.

---

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.