A245078 Decimal expansion of the positive solution of G(x)=x, with x>1, G being the Barnes function.

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

Offset

1,1

Links

Table of n, a(n) for n=1..103.

Eric Weisstein's MathWorld, Barnes G-Function

Wikipedia, Barnes G-function

Example

4.545521112717123347524256041745430121939819430235476259826233923516438127...

Mathematica

digits = 103; x0 = x /. FindRoot[BarnesG[x] == x, {x, 5}, WorkingPrecision -> digits + 10]; RealDigits[x0, 10, digits] // First

Crossrefs

Cf. A218802 (gamma(x)=x).

Sequence in context: A126128 A046565 A046598 * A276868 A182495 A372447

Adjacent sequences: A245075 A245076 A245077 * A245079 A245080 A245081

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 11 2014

Status

approved