A245082 Decimal expansion of the local maximum of the Barnes G function in the interval [0,2].

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

Offset

1,3

Links

Table of n, a(n) for n=1..105.

Eric Weisstein's MathWorld, Barnes G-Function

Wikipedia, Barnes G-function

Formula

G(x1), with x1 = A245081.

Example

1.0730517856831011568109507492794567286947249030956295760902801370857797351...

Mathematica

digits = 105; x1 = x /. FindRoot[3 - 2*x + Log[2*Pi] + 2 *(x-1)*PolyGamma[x-1] == 0, {x, 3/2}, WorkingPrecision -> digits+10]; RealDigits[BarnesG[x1], 10, digits] // First

Crossrefs

Cf. A245081, A245083, A245084.

Sequence in context: A021582 A098459 A171535 * A019648 A232716 A327574

Adjacent sequences: A245079 A245080 A245081 * A245083 A245084 A245085

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 11 2014

Status

approved