A076553 Decimal expansion of the solution of agm(x,2) = 1.

3, 5, 1, 5, 2, 5, 9, 6, 9, 0, 7, 1, 3, 0, 8, 9, 9, 7, 4, 2, 3, 1, 4, 7, 3, 6, 1, 5, 7, 9, 0, 8, 6, 9, 6, 5, 9, 2, 6, 8, 0, 0, 8, 0, 9, 1, 5, 1, 2, 1, 5, 8, 7, 5, 9, 1, 5, 4, 0, 4, 2, 8, 0, 4, 2, 9, 7, 7, 7, 5, 7, 8, 9, 6, 9, 4, 5, 6, 7, 8, 9, 1, 7, 4, 9, 4, 5, 0, 2, 9, 6, 6, 5, 1, 8, 9, 0, 5, 7, 4, 0, 4, 3, 7, 8

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Eric Weisstein's World of Mathematics, Arithmetic-Geometric Mean

Wolfram Research, Arithmetic-Geometric Mean

Example

agm(0.351525969,2) = 1.

Mathematica

digits = 105; x /. FindRoot[ ArithmeticGeometricMean[x, 2] == 1, {x, 1}, WorkingPrecision -> digits+5] // RealDigits[#, 10, digits]& // First (* Jean-François Alcover, Mar 05 2013 *)

Prog

(PARI) solve(x=0, 1/2, agm(x, 2)-1)

Crossrefs

Sequence in context: A256598 A378025 A155526 * A199616 A173973 A344076

Adjacent sequences: A076550 A076551 A076552 * A076554 A076555 A076556

Keyword

nonn,cons

Author

Robert G. Wilson v, Oct 19 2002

Extensions

More terms from Benoit Cloitre, Oct 20 2002

Status

approved