A062083 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

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.

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-1, " ", x[n])) } \\ Harry J. Smith, Aug 01 2009

CROSSREFS

Cf. A062089 (decimal expansion).

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

EXTENSIONS

Offset changed by Andrew Howroyd, Aug 04 2024

STATUS

approved