A387131 - OEIS

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A387131

Decimal expansion of the real part of the complex solutions to log(z) = -1/z on the principal branch of log(z).

1

1, 6, 8, 3, 7, 6, 3, 7, 9, 0, 8, 7, 2, 2, 2, 9, 1, 0, 5, 5, 7, 0, 2, 9, 0, 4, 0, 1, 9, 6, 4, 1, 9, 7, 9, 8, 8, 7, 7, 3, 7, 4, 7, 4, 8, 2, 9, 2, 5, 4, 1, 3, 3, 6, 1, 6, 4, 4, 4, 6, 0, 5, 7, 6, 4, 0, 8, 1, 7, 1, 1, 4, 8, 7, 7, 8, 5, 2, 0, 5, 8, 8, 1, 2, 8, 3, 2, 8, 4, 7, 9, 7, 8, 9, 9, 5, 2, 3, 6, 6

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..99.

Index entries for transcendental numbers.

FORMULA

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

EXAMPLE

0.16837637908722291055702904019641979887737474829...

MATHEMATICA

RealDigits[Re[-1/ProductLog[-1]], 10, 100][[1]]

CROSSREFS

Cf. A030797, A059526, A059527.

Cf. A387132 (absolute value of the imaginary part).

Sequence in context: A021598 A021940 A316256 * A054042 A184084 A346402

Adjacent sequences: A387128 A387129 A387130 * A387132 A387133 A387134

KEYWORD

nonn,cons

AUTHOR

Stefano Spezia, Aug 17 2025

STATUS

approved