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A073004 Decimal expansion of exp(gamma). 25
1, 7, 8, 1, 0, 7, 2, 4, 1, 7, 9, 9, 0, 1, 9, 7, 9, 8, 5, 2, 3, 6, 5, 0, 4, 1, 0, 3, 1, 0, 7, 1, 7, 9, 5, 4, 9, 1, 6, 9, 6, 4, 5, 2, 1, 4, 3, 0, 3, 4, 3, 0, 2, 0, 5, 3, 5, 7, 6, 6, 5, 8, 7, 6, 5, 1, 2, 8, 4, 1, 0, 7, 6, 8, 1, 3, 5, 8, 8, 2, 9, 3, 7, 0, 7, 5, 7, 4, 2, 1, 6, 4, 8, 8, 4, 1, 8, 2, 8, 0, 3, 3, 4, 8, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See references and additional links in A094644.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..2000

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

Simon Plouffe, The exp(gamma)

Eric Weisstein's World of Mathematics, Euler-Mascheroni Constant

Eric Weisstein's World of Mathematics, Gronwall's Theorem

Eric Weisstein's World of Mathematics, Mertens Theorem, Equations 2-3

FORMULA

By Mertens theorem, equals lim(m->infinity)(1/log(prime(m))*prod(k=1..m, 1/(1-1/prime(k)))). - Stanislav Sykora, Nov 14 2014

EXAMPLE

Exp(gamma) = 1.7810724179901979852365041031071795491696452143034302053...

MATHEMATICA

RealDigits[ E^(EulerGamma), 10, 110] [[1]]

PROG

(PARI) exp(Euler)

(MAGMA) R:=RealField(100); Exp(EulerGamma(R)); // G. C. Greubel, Aug 27 2018

CROSSREFS

Gamma is the Euler-Mascheroni constant A001620.

Cf. A001113, A080130, A094644 (continued fraction for exp(gamma)), A246499.

Sequence in context: A188485 A093828 A010514 * A256670 A021132 A019936

Adjacent sequences:  A073001 A073002 A073003 * A073005 A073006 A073007

KEYWORD

cons,nonn,easy

AUTHOR

Robert G. Wilson v, Aug 03 2002

STATUS

approved

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Last modified December 18 08:16 EST 2018. Contains 318219 sequences. (Running on oeis4.)