login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A078110 Decimal expansion of K210. 0
0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 2, 5, 2, 4, 1, 8, 4, 7, 0, 6, 4, 5, 0, 4, 8, 0, 4, 8, 9, 8, 9, 9, 4, 6, 7, 5, 0, 7, 6, 0, 1, 4, 6, 7, 8, 7, 4, 8, 4, 4, 5, 1, 2, 2, 9, 2, 6, 5, 2, 2, 5, 9, 7, 0, 0, 3, 1, 3, 7, 0, 0, 2, 5, 4, 0, 0, 5, 5, 8, 0, 4, 6, 9, 6, 0, 7, 7, 7, 5, 3, 4, 6, 7, 7, 6, 6, 1, 2, 5, 0, 4, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,10

COMMENTS

Related to modular functions and approximations to Pi : K210 is one of the most famous singular value calculated by Ramanujan. -2/sqrt(210)*log(K210/4) = 3.14159265358979323847198.. agrees with Pi to 20 decimal places

REFERENCES

L. Berggren, J. Borwein and P. Borwein, "Pi a source Book", second edition, Springer, p. 592

LINKS

Table of n, a(n) for n=0..103.

FORMULA

K210=(sqrt(2)-1)^2*(2-sqrt(3))*(sqrt(7)-sqrt(6))^2*(8-3*sqrt(7))*(sqrt(10)-3)^2*(sqrt(15)-sqrt(14))*(4-sqrt(15))^2*(6-sqrt(35))

EXAMPLE

0.0000000005202524184706450480489....

CROSSREFS

Sequence in context: A112871 A249421 A244813 * A201528 A093814 A212155

Adjacent sequences:  A078107 A078108 A078109 * A078111 A078112 A078113

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, Dec 03 2002

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 18 05:45 EDT 2019. Contains 328146 sequences. (Running on oeis4.)