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A068521 Decimal expansion of agm(1;2). +0
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; cons; graph; listen)
OFFSET

1,2

COMMENT

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

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

EXAMPLE

1.45679103...

CROSSREFS

Sequence in context: A140293 A075341 A143789 this_sequence A068318 A066485 A079445

Adjacent sequences: A068518 A068519 A068520 this_sequence A068522 A068523 A068524

KEYWORD

easy,nonn,cons

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 21 2002

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Last modified November 27 14:34 EST 2009. Contains 167570 sequences.


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