A163766 Continued fraction expansion of Arithmetic Geometric Mean[1,2]

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

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

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

Sequence in context: A279623 A287040 A212887 * A004200 A069998 A162405

Adjacent sequences: A163763 A163764 A163765 * A163767 A163768 A163769

Keyword

cofr,easy,nonn

Author

B. R. Becker (bbecker(AT)panda3.phys.unm.edu), Aug 03 2009

Status

approved