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A181693 Decimal expansion of AGM(1-x,1+x), where x=1/(10^27+1). 0
9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

0.999999999...9999999999750000000...000004999999...9999991718750000000...000001312499... (see the first link).

LINKS

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

Gerd Lamprecht, Almost Integer, Patterns in decimals

Gerd Lamprecht, 10000 digit from A-646 in pi.gerdlamprecht.de database

FORMULA

Equals Pi/(2*K(1/(10^27+1)^2)), where K is the complete elliptic integral of the first kind. - Bruno Berselli, Mar 07 2013

EXAMPLE

0.99999999999999999999999999999999999999999999999999999975000000000000...

PROG

(PARI) x=1/(10^27+1); agm(1-x, 1+x) \\ Charles R Greathouse IV, Mar 03 2016

(PARI) agm(sqrt(1-1/(10^27+1)^2), 1) \\ Charles R Greathouse IV, Mar 03 2016

CROSSREFS

Cf. A179295.

Sequence in context: A270172 A137577 A099646 * A271880 A010734 A180599

Adjacent sequences:  A181690 A181691 A181692 * A181694 A181695 A181696

KEYWORD

cons,nonn,less

AUTHOR

Gerd Lamprecht (gerdlamprecht(AT)googlemail.com), Nov 05 2010

STATUS

approved

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Last modified May 28 21:38 EDT 2017. Contains 287241 sequences.