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

1,1

References

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

Links

Harry J. Smith, Table of n, a(n) for n=1,...,5000

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.

Example

2.5849817595792532170658935873831711600880516518526309173215...

Prog

(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, " ", x[n])) } \\ Harry J. Smith, Aug 01 2009

Crossrefs

Cf. A062089.

Sequence in context: A325526 A057820 A054012 * A133114 A156265 A232992

Adjacent sequences: A062080 A062081 A062082 * A062084 A062085 A062086

Keyword

cofr,easy,nonn

Author

Jason Earls, Jun 27 2001

Status

approved