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

Author

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

Keywords

• cofr
• easy
• nonn

Examples

			This is the continued fraction of AGM(1,2) = 1.4567910310....
		

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

Crossrefs

Cf. A068521 (decimal expansion).

Programs

Mathematica

ContinuedFraction[ArithmeticGeometricMean[1, 2], 98]

Extensions

Offset changed by Andrew Howroyd, Aug 09 2024