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A080130 Decimal expansion of exp(-gamma). 15
5, 6, 1, 4, 5, 9, 4, 8, 3, 5, 6, 6, 8, 8, 5, 1, 6, 9, 8, 2, 4, 1, 4, 3, 2, 1, 4, 7, 9, 0, 8, 8, 0, 7, 8, 6, 7, 6, 5, 7, 1, 0, 3, 8, 6, 9, 2, 5, 1, 5, 3, 1, 6, 8, 1, 5, 4, 1, 5, 9, 0, 7, 6, 0, 4, 5, 0, 8, 7, 9, 6, 7, 0, 7, 4, 2, 8, 5, 6, 3, 7, 1, 3, 2, 8, 7, 1, 1, 5, 8, 9, 3, 4, 2, 1, 4, 3, 5, 8, 7, 6, 7, 3, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

lim inf n -> infinity eulerphi(n)*log(log(n))/n = exp(-gamma). - Arkadiusz Wesolowski, Aug 26 2012

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Sections 1.5 p. 29, 2.7 p. 117 and 5.4 p. 285.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000

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

D. Zeilberger, N. Zeilberger, Fractional Counting of Integer Partitions, 2018.

FORMULA

From Alois P. Heinz, Dec 05 2018: (Start)

Equals Limit_{n-> infinity} A322364(n)/(n*A322365(n)).

Equals Limit_{n-> infinity} A322380(n)/A322381(n). (End)

EXAMPLE

0.56145948356688516982414321479088078676571...

MATHEMATICA

RealDigits[N[Exp[-EulerGamma], 200]][[1]] (* Arkadiusz Wesolowski, Aug 26 2012 *)

PROG

(PARI) default(realprecision, 100); exp(-Euler) \\ G. C. Greubel, Aug 28 2018

(MAGMA) R:= RealField(100); Exp(-EulerGamma(R)); // G. C. Greubel, Aug 28 2018

CROSSREFS

Cf. A001113, A001620, A002852, A073004, A079650, A322364, A322365, A322380, A322381.

Sequence in context: A287610 A298171 A046614 * A188640 A198419 A323738

Adjacent sequences:  A080127 A080128 A080129 * A080131 A080132 A080133

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, Jan 26 2003

STATUS

approved

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Last modified October 14 05:08 EDT 2019. Contains 327995 sequences. (Running on oeis4.)