A060708 The Reuleaux Triangle constant.

0, 7, 0, 4, 7, 7, 0, 9, 2, 3, 0, 1, 0, 4, 5, 7, 9, 7, 2, 4, 6, 7, 5, 9, 8, 5, 2, 0, 8, 8, 6, 8, 1, 5, 2, 5, 8, 6, 2, 7, 1, 8, 2, 0, 7, 2, 7, 8, 2, 3, 6, 2, 5, 9, 6, 4, 5, 9, 5, 6, 8, 8, 0, 6, 4, 2, 7, 9, 4, 1, 6, 9, 4, 6, 8, 8, 7, 0, 4, 4, 8, 0, 7, 7, 3, 4, 4, 4, 3, 1, 9, 2, 9, 2, 4, 3, 4, 2, 4, 6, 1, 5, 3, 2, 6

Offset: 1

Author

Robert G. Wilson v, Feb 05 2001

Keywords

• nonn
• cons

Examples

			0.704770923010457972467598520886815258627182072782362596459568806427941... [_Harry J. Smith_, Jul 09 2009]
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.10, p. 513.
• Martin Gardner, "The Unexpected Hanging," page 215.
• Clifford A. Pickover, The Math Book, Sterling Publishing Co. (New York), 2009, p. 266.

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000
• Eric Weisstein's World of Mathematics, Reuleaux Triangle.
• Wikipedia, Reuleaux triangle.
• Index entries for transcendental numbers.

Crossrefs

Cf. A060709.

Programs

Mathematica

RealDigits[N[(Pi - Sqrt[3])/2, 100]][[1]]

PARI

{ default(realprecision, 20080); x=(Pi - sqrt(3))/2; for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b060708.txt", n, " ", d)); } \\ Harry J. Smith, Jul 09 2009

Formula

Equals (Pi - sqrt(3))/2.

Extensions

Final digits of sequence corrected using the b-file. - N. J. A. Sloane, Aug 30 2009