A163766 Continued fraction expansion of the arithmetic-geometric mean of 1 and 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

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..4999

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

Adjacent sequences: A163763 A163764 A163765 * A163767 A163768 A163769

Keyword

cofr,easy,nonn,changed

Author

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

Extensions

Offset changed by Andrew Howroyd, Aug 09 2024

Status

approved