A257434 Decimal expansion of the second smallest negative real root of the equation Gamma(x) = -1 (negated).

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

Offset

1,1

Links

Table of n, a(n) for n=1..101.

Philippe Flajolet, Stefan Gerhold and Bruno Salvy, Lindelöf Representations and (Non-)Holonomic Sequences, Electronic Journal of Combinatorics, vol 17(1):R3, 2010, p. 10.

Eric Weisstein's MathWorld, Gamma Function

Formula

-3 < A257434 = -2.747682... < A175474 = -2.61072... < A257433 = -2.457024... < -2.

Example

-2.747682646727412601391488482691499695861639395132355512...

Mathematica

x2 = x /. FindRoot[Gamma[x] == -1, {x, -8/3}, WorkingPrecision -> 101]; RealDigits[x2] // First

Crossrefs

Cf. A175474, A257433.

Sequence in context: A286984 A021368 A019968 * A011050 A198935 A019779

Adjacent sequences: A257431 A257432 A257433 * A257435 A257436 A257437

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Apr 23 2015

Status

approved