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A062089 Decimal expansion of Sierpiński's constant. 10
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

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

LINKS

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

S. R. Finch, Sierpinski's Constant.

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.

Sequence in context: A114550 A094001 A020859 * A011201 A201772 A196605

Adjacent sequences:  A062086 A062087 A062088 * A062090 A062091 A062092

KEYWORD

cons,easy,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jun 27 2001

STATUS

approved

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Last modified August 28 08:35 EDT 2015. Contains 261118 sequences.