A074958 Decimal expansion of the arithmetic-geometric mean (AGM) of 2 and 3.

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

Offset

1,1

Links

Table of n, a(n) for n=1..105.

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

Eric Weisstein's World of Mathematics, Complete Elliptic Integral of the First Kind.

Formula

Equals 5*Pi/(4*EllipticK(1/25)), where EllipticK is the complete elliptic integral of the first kind. - Amiram Eldar, Jun 01 2023

Example

2.47468043623630446260665960359140148925167409406673586682618274063...

Mathematica

RealDigits[ArithmeticGeometricMean[2, 3], 10, 120][[1]] (* Harvey P. Dale, Nov 26 2020 *)

Prog

(PARI) agm(2, 3) \\ Charles R Greathouse IV, Oct 18 2011

Crossrefs

Sequence in context: A114375 A198503 A129200 * A222407 A230724 A167280

Adjacent sequences: A074955 A074956 A074957 * A074959 A074960 A074961

Keyword

nonn,cons

Author

Zak Seidov, Oct 05 2002

Status

approved