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A163766
Continued fraction expansion of the arithmetic-geometric mean of 1 and 2.
1
1, 2, 5, 3, 2, 167, 1, 1, 99, 7, 10, 2, 2, 2, 2, 4, 1, 264, 2, 7, 2, 2, 2, 13, 1, 9, 3, 1, 4, 1, 1, 2, 15, 3, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 1, 4, 2, 1, 1, 5, 1, 1, 2, 16, 1, 5, 3, 1, 3, 2, 3, 1, 1, 2, 1, 43, 3, 1, 30, 1, 3, 153, 1, 1, 2, 1, 3, 1, 1, 13, 4, 6, 1, 1, 11, 2, 1, 2, 98, 1, 3, 1, 3, 1, 5, 15, 4, 1
OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, Arithmetic-Geometric Mean
Eric Weisstein's World of Mathematics, Continued Fraction
EXAMPLE
This is the continued fraction of AGM(1,2) = 1.4567910310....
MATHEMATICA
ContinuedFraction[ArithmeticGeometricMean[1, 2], 98]
CROSSREFS
Cf. A068521 (decimal expansion).
Sequence in context: A279623 A287040 A212887 * A004200 A069998 A162405
KEYWORD
cofr,easy,nonn
AUTHOR
B. R. Becker (bbecker(AT)panda3.phys.unm.edu), Aug 03 2009
EXTENSIONS
Offset changed by Andrew Howroyd, Aug 09 2024
STATUS
approved