|
Search: id:A062539
|
|
|
| A062539 |
|
Decimal expansion of the Lemniscate constant or Gauss' constant. |
|
+0
3
|
|
| 2, 6, 2, 2, 0, 5, 7, 5, 5, 4, 2, 9, 2, 1, 1, 9, 8, 1, 0, 4, 6, 4, 8, 3, 9, 5, 8, 9, 8, 9, 1, 1, 1, 9, 4, 1, 3, 6, 8, 2, 7, 5, 4, 9, 5, 1, 4, 3, 1, 6, 2, 3, 1, 6, 2, 8, 1, 6, 8, 2, 1, 7, 0, 3, 8, 0, 0, 7, 9, 0, 5, 8, 7, 0, 7, 0, 4, 1, 4, 2, 5, 0, 2, 3, 0, 2, 9, 5, 5, 3, 2, 9, 6, 1, 4, 2, 9, 0, 9, 3, 4, 4, 6, 1, 3
(list; cons; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
LINKS
|
Harry J. Smith, Table of n, a(n) for n=1,...,5000
S. Plouffe, Lemniscate or Gauss constant(Plouffe's Inverter)
S. Plouffe, Lemniscate constant or Gauss constant
Eric Weisstein's World of Mathematics, Lemniscate Constant
|
|
FORMULA
|
1/2*Pi^(3/2)/GAMMA(3/4)^2*2^(1/2)
|
|
EXAMPLE
|
2.622057554292119810464839589891119413682754951431623162816821703...
|
|
MATHEMATICA
|
RealDigits[Pi^(3/2)/Gamma[3/4]^2*2^(1/2)/2, 10, 111][[1]] (from Robert G. Wilson v May 19 2004)
|
|
PROGRAM
|
(PARI) print(1/2*Pi^(3/2)/gamma(3/4)^2*2^(1/2))
(PARI) { allocatemem(932245000); default(realprecision, 5080); x=Pi^(3/2)*sqrt(2)/(2*gamma(3/4)^2); for (n=1, 5000, d=floor(x); x=(x-d)*10; write("b062539.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 20 2009]
|
|
CROSSREFS
|
Cf. A062540, A064853.
Sequence in context: A082516 A008905 A136760 this_sequence A110218 A057892 A115009
Adjacent sequences: A062536 A062537 A062538 this_sequence A062540 A062541 A062542
|
|
KEYWORD
|
cons,easy,nonn
|
|
AUTHOR
|
Jason Earls (zevi_35711(AT)yahoo.com), Jun 25 2001
|
|
|
Search completed in 0.002 seconds
|
