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A084945 Decimal expansion of Golomb-Dickman constant. 9
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: A198502 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 April 24 10:01 EDT 2014. Contains 240965 sequences.