A062083 Continued fraction expansion of Sierpiński's Constant.

2, 1, 1, 2, 2, 3, 1, 3, 1, 9, 2, 8, 4, 1, 13, 3, 1, 15, 18, 1, 3, 1, 4, 5, 1, 70, 1, 1, 2, 1, 1, 1, 1, 1, 5, 2, 1, 9, 11, 1, 7, 1, 1, 1, 1, 2, 1, 1, 5, 1, 5, 5, 1, 6, 5, 7, 16, 3, 4, 3, 5, 4, 8, 1, 7, 1, 3, 1, 8, 1, 1, 6, 30, 1, 4, 5, 39, 9, 1, 1, 2, 1, 1, 2, 4, 9, 12, 1, 2, 3, 2, 1, 9, 3, 1, 2, 1, 2, 141

Offset: 0

Author

Jason Earls, Jun 27 2001

Keywords

• cofr
• easy
• nonn

Examples

			2.5849817595792532170658935873831711600880516518526309173215...
		

References

• Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 122-126.

Links

• Harry J. Smith, Table of n, a(n) for n = 0..4999
• Steven R. Finch, Sierpinski's Constant. [Broken link]
• Steven R. Finch, Sierpinski's Constant. [From the Wayback machine]
• Simon Plouffe, Sierpinski Constant to 2000 digits.

Crossrefs

Cf. A062089 (decimal expansion).

Programs

PARI

contfrac(-Pi*log(Pi)+2*Pi*Euler+4*Pi*log(gamma(3/4)))

PARI

{ allocatemem(932245000); default(realprecision, 5500); x=contfrac(-Pi*log(Pi)+2*Pi*Euler+4*Pi*log(gamma(3/4))); for (n=1, 5000, write("b062083.txt", n-1, " ", x[n])) } \\ Harry J. Smith, Aug 01 2009

Extensions

Offset changed by Andrew Howroyd, Aug 04 2024