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 A068521 Decimal expansion of agm(1, 2). 7
 1, 4, 5, 6, 7, 9, 1, 0, 3, 1, 0, 4, 6, 9, 0, 6, 8, 6, 9, 1, 8, 6, 4, 3, 2, 3, 8, 3, 2, 6, 5, 0, 8, 1, 9, 7, 4, 9, 7, 3, 8, 6, 3, 9, 4, 3, 2, 2, 1, 3, 0, 5, 5, 9, 0, 7, 9, 4, 1, 7, 2, 3, 8, 3, 2, 6, 7, 9, 2, 6, 4, 5, 4, 5, 8, 0, 2, 5, 0, 9, 0, 0, 2, 5, 7, 4, 7, 3, 7, 1, 2, 8, 1, 8, 4, 4, 8, 4, 4, 4, 3, 2, 8, 1, 8 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This is the arithmetic-geometric mean of 1 and 2, given by u(1)=1, v(1)=2, u(n+1)=(u(n)+v(n))/2, v(n+1)=sqrt(u(n)*v(n)); agm(1;2)=lim u(n)=lim v(n). LINKS Ivan Panchenko, Table of n, a(n) for n = 1..1000 Eric Weisstein's World of Mathematics, Arithmetic-Geometric Mean EXAMPLE 1.45679103... MATHEMATICA RealDigits[ ArithmeticGeometricMean[1, 2], 10, 105] // First (* Jean-François Alcover, Feb 06 2013 *) RealDigits[N[3Pi/(4EllipticK[1/9]), 105]][[1]] (* Jean-François Alcover, Jun 02 2019 *) PROG (PARI) agm(1, 2) \\ Charles R Greathouse IV, Mar 03 2016 CROSSREFS Sequence in context: A075341 A309358 A143789 * A196697 A068318 A242337 Adjacent sequences:  A068518 A068519 A068520 * A068522 A068523 A068524 KEYWORD easy,nonn,cons AUTHOR Benoit Cloitre, Mar 21 2002 STATUS approved

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Last modified April 18 16:51 EDT 2021. Contains 343089 sequences. (Running on oeis4.)