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

1,3

References

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

Links

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

Example

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

Mathematica

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

Prog

(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

Crossrefs

Cf. A060708.

Sequence in context: A319694 A335641 A163495 * A035222 A136436 A276729

Adjacent sequences: A060706 A060707 A060708 * A060710 A060711 A060712

Keyword

cofr,nonn

Author

Robert G. Wilson v, Feb 05 2001

Status

approved