- Title
- Pi, Euler numbers and asymptotic expansions
- Creator
- Borwein, J. M.; Borwein, P. B.; Dilcher, K.
- Relation
- The American Mathematical Monthly Vol. 96, Issue 8, p. 681-687
- Relation
- http://www.maa.org/pubs/monthly.html
- Publisher
- Mathematical Association of America (MAA)
- Resource Type
- journal article
- Date
- 1989
- Description
- Gregory's series for π, truncated at 500,000 terms, gives to forty places 3.141590653589793240462643383269502884197. This is not π to forty places. As one would expect, the 6th digit after the decimal point is wrong. The suprise is that the next 10 digits are correct. In fact, only 4 digits aren't correct. The point of this article is to provide an explanation for this.
- Subject
- pi; π; Euler numbers; integer sequences
- Identifier
- http://hdl.handle.net/1959.13/1043679
- Identifier
- uon:14226
- Identifier
- ISSN:0002-9890
- Language
- eng
- Full Text
- Reviewed
- Hits: 5670
- Visitors: 6723
- Downloads: 1174
Thumbnail | File | Description | Size | Format | |||
---|---|---|---|---|---|---|---|
View Details Download | ATTACHMENT01 | Publisher version (open access) | 509 KB | Adobe Acrobat PDF | View Details Download |