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A245082
Decimal expansion of the local maximum of the Barnes G function in the interval [0,2].
3
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
Eric Weisstein's MathWorld, 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
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved