|
Search: id:A159570
|
|
|
| A159570 |
|
Continued fraction for 1/(Sqrt[2]G), where G is Gauss's constant A014549. |
|
+0
1
|
|
| 0, 1, 5, 1, 1, 5, 20, 1, 13, 2, 1, 1, 61, 1, 1, 2, 4, 1, 3, 1, 2, 1, 5, 1, 13, 1, 11, 7, 6, 2, 77, 7, 1, 5, 4, 8, 1, 1, 6, 4, 2, 1, 1, 2, 4, 1, 1, 2, 1, 3, 1, 1, 6, 6, 1, 7, 1, 10, 1, 1, 4, 1, 4, 2, 1, 7, 1, 4, 1, 2, 17, 2, 2, 1, 5, 2, 1, 2, 1, 1, 1, 3, 3, 1, 1, 6, 1, 1, 16, 3, 1320, 2, 2, 7, 5, 9, 1, 217, 3
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Also called the Ubiquitous Constant
|
|
LINKS
|
Harry J. Smith, Table of n, a(n) for n=0,...,20000
|
|
FORMULA
|
The Ubiquitous Constant = agm(1, sqrt(1/2)) = BetaC(.75, .75) / 2 = Gam(.75)*Gam(.75)/(2*Gam(1.5)
|
|
EXAMPLE
|
0.847213084793979086606499123... = 0 + 1/(1 + 1/(5 + 1/(1 + 1/(1 + ...))))
|
|
PROGRAM
|
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(agm(1, sqrt(1/2))); for (n=0, 20000, write("b159570.txt", n, " ", x[n+1])); }
|
|
CROSSREFS
|
Sequence in context: A152717 A071856 A144221 this_sequence A028313 A050178 A111720
Adjacent sequences: A159567 A159568 A159569 this_sequence A159571 A159572 A159573
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 16 2009
|
|
|
Search completed in 0.002 seconds
|
