A060709 Continued fraction expansion of the Reuleaux Triangle constant.

0, 1, 2, 2, 1, 1, 2, 1, 1, 9, 2, 10, 3, 1, 7, 1, 13, 1, 26, 1, 1, 2, 12, 2, 4, 3, 11, 1, 1, 11, 1, 4, 1, 1, 10, 1, 1, 2, 793, 2, 1, 1, 5, 1, 3, 2, 3, 2, 3, 3, 1, 3, 29, 2, 1, 3, 1, 2, 2, 4, 13, 1, 7, 2, 112, 1, 1, 1, 2, 3, 1, 5, 1, 1, 4

Offset: 1

Author

Robert G. Wilson v, Feb 05 2001

Keywords

• cofr
• nonn

Examples

			0.704770923010457972467598520... = 0 + 1/(1 + 1/(2 + 1/(2 + 1/(1 + ...)))). - _Harry J. Smith_, Jul 09 2009
		

References

• Martin Gardner, "The Unexpected Hanging," page 215.

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000

Crossrefs

Cf. A060708.

Programs

Mathematica

ContinuedFraction[ (Pi - Sqrt[3])/2, 75]

PARI

{ allocatemem(932245000); default(realprecision, 21000); x=contfrac((Pi - sqrt(3))/2); for (n=1, 20000, write("b060709.txt", n, " ", x[n])); } \\ Harry J. Smith, Jul 09 2009