|
Search: id:A117191
|
|
|
| A117191 |
|
Decimal expansion of 4^(1/pi). |
|
+0
1
|
|
| 1, 5, 5, 4, 6, 8, 2, 2, 7, 5, 4, 8, 2, 1, 0, 0, 0, 8, 9, 8, 7, 0, 2, 3, 2, 0, 8, 0, 7, 8, 2, 8, 0, 4, 0, 0, 2, 0, 6, 0, 4, 4, 7, 3, 0, 6, 2, 6, 5, 6, 6, 1, 3, 7, 9, 0, 9, 8, 9, 2, 0, 2, 0, 4, 3, 3, 2, 8, 7, 7, 9, 4, 1, 5, 2, 9, 3, 2, 8, 0, 5, 3, 6, 5, 1, 1, 3, 9, 7, 6, 3, 8, 2, 3, 1, 8, 7, 4, 8, 9, 3, 6, 3, 0, 5
(list; cons; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Gosper found that lim[n approaches infinity] Prod[i=n..2n] pi/2 arctan i = 4^(1/pi) ~ 1.554682275...
|
|
REFERENCES
|
Gosper, R. W. math-fun(AT)cs.arizona.edu posting, Sept. 1996.
Gosper, R. W. "a product." math-fun(AT)cs.arizona.edu posting, Sept. 27, 1996.
|
|
LINKS
|
R. W. Gosper, Some identities
Eric Weisstein's World of Mathematics, Pi Formulas.
|
|
EXAMPLE
|
1.5546822754821000898702320807828040020604473062656613790989...
|
|
PROGRAM
|
(Macsyma) 'limit(funmake_no_simp(".", [%pi/2/atan(n), %pi/2/atan(n+1), "", "", %pi/2/atan(2*n)]), n, inf)=4^(1/%pi)
|
|
CROSSREFS
|
Sequence in context: A019805 A046471 A094245 this_sequence A011189 A011409 A019253
Adjacent sequences: A117188 A117189 A117190 this_sequence A117192 A117193 A117194
|
|
KEYWORD
|
cons,easy,nonn
|
|
AUTHOR
|
Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 21 2006
|
|
EXTENSIONS
|
More terms from Eric Weisstein (eric(AT)weisstein.com), May 01 2006
Edited by njas, Jul 01 2008 at the suggestion of R. J. Mathar
|
|
|
Search completed in 0.002 seconds
|
