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A185393 Decimal expansion of e/(e-1) = 1 + 1/e + 1/e^2 + ... 8
1, 5, 8, 1, 9, 7, 6, 7, 0, 6, 8, 6, 9, 3, 2, 6, 4, 2, 4, 3, 8, 5, 0, 0, 2, 0, 0, 5, 1, 0, 9, 0, 1, 1, 5, 5, 8, 5, 4, 6, 8, 6, 9, 3, 0, 1, 0, 7, 5, 3, 9, 6, 1, 3, 6, 2, 6, 6, 7, 8, 7, 0, 5, 9, 6, 4, 8, 0, 4, 3, 8, 1, 7, 3, 9, 1, 6, 6, 9, 7, 4, 3, 2, 8, 7, 2, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

FORMULA

Equals Sum_{n>=0} 1/exp(n). - Vaclav Kotesovec, Jan 30 2015

From Vaclav Kotesovec, Oct 13 2018: (Start)

Equals 1 - LambertW(exp(1/(1 - exp(1))) / (1 - exp(1))).

Equals -LambertW(-1, exp(1/(1 - exp(1))) / (1 - exp(1))).

(End)

EXAMPLE

1.58197670686932642438500200510901155854686930107539613626678705964804...

MATHEMATICA

RealDigits[E/(E - 1), 10, 100][[1]] (* G. C. Greubel, Jun 29 2017 *)

PROG

(PARI) exp(1)/(exp(1)-1)

CROSSREFS

Cf. A073333, A254445, A254446, A320349, A320350.

Sequence in context: A122998 A227158 A098881 * A073333 A316229 A235936

Adjacent sequences:  A185390 A185391 A185392 * A185394 A185395 A185396

KEYWORD

nonn,cons,easy

AUTHOR

Charles R Greathouse IV, Mar 20 2012

STATUS

approved

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Last modified April 20 09:59 EDT 2019. Contains 322309 sequences. (Running on oeis4.)