

A064853


Lemniscate constant.


7



5, 2, 4, 4, 1, 1, 5, 1, 0, 8, 5, 8, 4, 2, 3, 9, 6, 2, 0, 9, 2, 9, 6, 7, 9, 1, 7, 9, 7, 8, 2, 2, 3, 8, 8, 2, 7, 3, 6, 5, 5, 0, 9, 9, 0, 2, 8, 6, 3, 2, 4, 6, 3, 2, 5, 6, 3, 3, 6, 4, 3, 4, 0, 7, 6, 0, 1, 5, 8, 1, 1, 7, 4, 1, 4, 0, 8, 2, 8, 5, 0, 0, 4, 6, 0, 5, 9, 1, 0, 6, 5, 9, 2, 2, 8, 5, 8, 1, 8, 6, 8, 9
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS

Harry J. Smith, Table of n, a(n) for n = 1..5000
Eric Weisstein's World of Mathematics, Lemniscate Constant
Eric Weisstein's World of Mathematics, Lemniscate


FORMULA

Equals Gamma(1/4)^2/sqrt(2*Pi).  G. C. Greubel, Oct 07 2018


EXAMPLE

5.244115108584239620929679...


MATHEMATICA

First@RealDigits[ N[ Gamma[ 1/4 ]^2/Sqrt[ 2 Pi ], 102 ] ]


PROG

(PARI) { allocatemem(932245000); default(realprecision, 5080); x=gamma(1/4)^2/sqrt(2*Pi); for (n=1, 5000, d=floor(x); x=(xd)*10; write("b064853.txt", n, " ", d)); } \\ Harry J. Smith, Jun 20 2009
(MAGMA) SetDefaultRealField(RealField(100)); R:= RealField(); Gamma(1/4)^2/Sqrt(2*Pi(R)); // G. C. Greubel, Oct 07 2018


CROSSREFS

Sequence in context: A249920 A021660 A266122 * A177148 A188739 A308171
Adjacent sequences: A064850 A064851 A064852 * A064854 A064855 A064856


KEYWORD

nonn,cons,easy


AUTHOR

Eric W. Weisstein, Sep 22 2001


STATUS

approved



