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A062089 Decimal expansion of Sierpiński's constant. 11
2, 5, 8, 4, 9, 8, 1, 7, 5, 9, 5, 7, 9, 2, 5, 3, 2, 1, 7, 0, 6, 5, 8, 9, 3, 5, 8, 7, 3, 8, 3, 1, 7, 1, 1, 6, 0, 0, 8, 8, 0, 5, 1, 6, 5, 1, 8, 5, 2, 6, 3, 0, 9, 1, 7, 3, 2, 1, 5, 4, 4, 9, 8, 7, 9, 7, 1, 9, 3, 2, 0, 4, 4, 0, 0, 1, 1, 5, 7, 1, 2, 0, 2, 1, 1, 1, 1, 7, 7, 2, 4, 5, 2, 7, 0, 6, 4, 2, 8, 3, 0, 3, 1, 3, 4 (list; constant; graph; refs; listen; history; text; internal format)
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

Eric Weisstein's World of Mathematics, Sierpiński Constant

FORMULA

-Pi*log(Pi)+2*Pi*gamma+4*Pi*log(GAMMA(3/4)).

Equals Pi*A241017. - Eric W. Weisstein, Dec 10 2014

Equals Pi*(A086058-1). - Eric W. Weisstein, Dec 10 2014

EXAMPLE

2.5849817595792532170658935873831711600880516518526309173215...

MATHEMATICA

K=-Pi Log[Pi]+2 Pi EulerGamma+4 Pi Log[Gamma[3/4]]; First@RealDigits[N[K, 105]](* Ant King, Mar 02 2013 *)

PROG

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

(PARI) { default(realprecision, 5080); x=-Pi*log(Pi)+2*Pi*Euler+4*Pi*log(gamma(3/4)); for (n=1, 5000, d=floor(x); x=(x-d)*10; write("b062089.txt", n, " ", d)) } \\ Harry J. Smith, Aug 01 2009

CROSSREFS

Cf. A062083, A222882, A222883.

Sequence in context: A094001 A309252 A020859 * A011201 A201772 A196605

Adjacent sequences:  A062086 A062087 A062088 * A062090 A062091 A062092

KEYWORD

cons,easy,nonn

AUTHOR

Jason Earls, Jun 27 2001

STATUS

approved

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Last modified October 22 19:53 EDT 2019. Contains 328319 sequences. (Running on oeis4.)