|
| |
|
|
A094643
|
|
Continued fraction for log Pi/2.
|
|
1
| |
|
|
0, 2, 4, 1, 1, 1, 33, 1, 4, 2, 1, 2, 1, 17, 1, 1, 4, 4, 1, 2, 1, 3, 1, 3, 1, 17, 54, 1, 4, 1, 3, 38, 1, 2, 1, 1, 2, 3, 4, 3, 1, 4, 1, 8, 4, 2, 1, 4, 12, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 16, 3, 2, 4, 1, 5, 1, 12, 1, 2, 14, 1, 1, 1, 2, 3, 2, 16, 3, 4, 4, 1, 1, 10, 198, 2, 6, 2, 1, 2, 3, 1, 2
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
REFERENCES
| G. Boros and V. Moll, Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals, Cambridge University Press, Cambridge, 2004, Chap. 7.
J. Borwein and P. Borwein, Pi and the AGM, John Wiley & Sons, New York, 1987, Chap. 11.
D. Huylebrouck, Similarities in irrationality proofs for Pi, ln2, zeta(2) and zeta(3), Amer. Math. Monthly 108 (2001) 222-231.
|
|
|
LINKS
| J. Sondow, A faster product for pi and a new integral for ln(pi/2), Amer. Math. Monthly 112 (2005), 729-734 and 113 (2006), 670.
|
|
|
MATHEMATICA
| ContinuedFraction[ Log[Pi/2], 100
|
|
|
CROSSREFS
| Cf. A094642.
Sequence in context: A099803 A177196 A010741 * A094593 A188348 A007738
Adjacent sequences: A094640 A094641 A094642 * A094644 A094645 A094646
|
|
|
KEYWORD
| cofr,easy,nonn
|
|
|
AUTHOR
| Jonathan Sondow (jsondow(AT)alumni.princeton.edu) and Robert G. Wilson v (rgwv(AT)rgwv.com), May 18 2004
|
| |
|
|