|
Search: id:A049007
|
|
|
| A049007 |
|
Continued fraction for i^i = exp(-Pi/2). |
|
+0
3
|
|
| 0, 4, 1, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 20, 1, 3, 6, 10, 3, 2, 1, 1, 7, 2, 2, 1, 1, 1, 2, 7, 1, 23, 28, 2, 1, 2, 3, 138, 1, 4, 2, 3, 1, 1, 50, 1, 2, 1, 1, 6, 1, 24, 1, 2, 2, 1, 1, 1, 1, 1, 4, 6, 11, 1, 16, 3, 3, 1, 1, 1, 2, 8, 3, 47, 2, 1, 2, 2, 1, 38, 1, 5, 1, 147
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
REFERENCES
|
S. Uhler, On the numerical value of i^i, Amer. Math. Monthly, 28 (1921), 114-116.
|
|
LINKS
|
Harry J. Smith, Table of n, a(n) for n=1,...,20000
G. Xiao, Contfrac
Index entries for continued fractions for constants
|
|
EXAMPLE
|
0.20787957635076190854695561983497877003387...
i^i = 0.207879576350761908546... = 0 + 1/(4 + 1/(1 + 1/(4 + 1/(3 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 28 2009]
|
|
MATHEMATICA
|
ContinuedFraction[ E^(-Pi/2), 100]
|
|
PROGRAM
|
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(exp(-Pi/2)); for (n=1, 20000, write("b049007.txt", n, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 28 2009]
|
|
CROSSREFS
|
Cf. A049006.
Sequence in context: A155781 A161772 A093063 this_sequence A016686 A060037 A021711
Adjacent sequences: A049004 A049005 A049006 this_sequence A049008 A049009 A049010
|
|
KEYWORD
|
nonn,cofr
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
