login
A074958
Decimal expansion of the arithmetic-geometric mean (AGM) of 2 and 3.
1
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
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
KEYWORD
nonn,cons
AUTHOR
Zak Seidov, Oct 05 2002
STATUS
approved