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A084945 Decimal expansion of Golomb-Dickman constant. 13
6, 2, 4, 3, 2, 9, 9, 8, 8, 5, 4, 3, 5, 5, 0, 8, 7, 0, 9, 9, 2, 9, 3, 6, 3, 8, 3, 1, 0, 0, 8, 3, 7, 2, 4, 4, 1, 7, 9, 6, 4, 2, 6, 2, 0, 1, 8, 0, 5, 2, 9, 2, 8, 6, 9, 7, 3, 5, 5, 1, 9, 0, 2, 4, 9, 5, 6, 3, 8, 0, 8, 8, 8, 5, 5, 1, 1, 3, 2, 5, 4, 4, 6, 2, 4, 6, 0, 2, 7, 6, 1, 9, 5, 5, 3, 9, 8, 6, 8, 8, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The first 27 digits form a prime. - Jonathan Vos Post, Nov 12 2004

The first 1659 digits form a prime. - David Broadhurst, Apr 02 2010

REFERENCES

A. MacFie and D. Panario, Random Mappings with Restricted Preimages, in Progress in Cryptology-LATINCRYPT 2012, LNCS 7533, pp. 254-270, 2012. - From N. J. A. Sloane, Dec 25 2012

LINKS

Table of n, a(n) for n=0..101.

Jeffrey C. Lagarias, Euler's constant: Euler's work and modern developments, Bull. Amer. Math. Soc., 50 (2013), 527-628.

Simon Plouffe, The Golomb constant

Primeform, PrimeForm message on the first 1659 digits. [From David Broadhurst, Apr 02 2010]

Eric Weisstein's World of Mathematics, Golomb-Dickman Constant

Wikipedia, Golomb-Dickman constant

EXAMPLE

0.62432998854355087...

MAPLE

E1:= z-> int(exp(-t)/t, t=z..infinity):

lambda:= int(exp(-x-E1(x)), x=0..infinity):

s:= convert(evalf(lambda, 130), string):

seq(parse(s[n+1]), n=1..120);  # Alois P. Heinz, Nov 20 2011

MATHEMATICA

NIntegrate[Exp[LogIntegral[x]], {x, 0, 1}, WorkingPrecision->110, MaxRecursion->20]

CROSSREFS

Sequence in context: A244858 A064925 A173273 * A010493 A175286 A061496

Adjacent sequences:  A084942 A084943 A084944 * A084946 A084947 A084948

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jun 13 2003

STATUS

approved

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Last modified September 23 16:36 EDT 2014. Contains 247172 sequences.