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A068521 Decimal expansion of agm(1, 2). 5
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-Fran├žois Alcover, Feb 06 2013 *)

PROG

(PARI) agm(1, 2) \\ Charles R Greathouse IV, Mar 03 2016

CROSSREFS

Sequence in context: A140293 A075341 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 December 4 19:20 EST 2016. Contains 278755 sequences.