A257433 Decimal expansion of the smallest negative real root of the equation Gamma(x) = -1 (negated).

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

Offset: 1

Author

Jean-François Alcover, Apr 23 2015

Keywords

• nonn
• cons
• easy

Examples

			-2.45702473822080062303945414765117954323659790903378442...
		

Links

• 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

Crossrefs

Cf. A175474, A257434.

Programs

Mathematica

x1 = x /. FindRoot[Gamma[x] == -1, {x, -5/2}, WorkingPrecision -> 104]; RealDigits[x1] // First

Formula

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