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A245084
Decimal expansion of the local minimum of the Barnes G function in the interval [2,4].
3
9, 4, 6, 8, 4, 5, 6, 0, 5, 2, 6, 9, 7, 0, 6, 1, 1, 3, 8, 7, 3, 3, 6, 7, 8, 8, 4, 5, 1, 3, 3, 4, 1, 9, 3, 1, 6, 3, 9, 5, 6, 9, 3, 5, 6, 7, 9, 8, 8, 9, 7, 2, 0, 5, 0, 0, 5, 5, 3, 7, 4, 9, 8, 4, 4, 1, 0, 3, 1, 7, 2, 0, 8, 8, 9, 0, 3, 1, 2, 2, 0, 3, 7, 7, 7, 0, 2, 9, 5, 2, 8, 9, 1, 1, 3, 7, 8, 7, 4, 0, 2, 1, 4
OFFSET
0,1
LINKS
FORMULA
G(x2), with x2 = A245083.
EXAMPLE
0.94684560526970611387336788451334193163956935679889720500553749844103172...
MATHEMATICA
digits = 102; x2 = x /. FindRoot[3 - 2*x + Log[2*Pi] + 2*(x-1)*PolyGamma[x-1] == 0, {x, 3}, WorkingPrecision -> digits+10]; RealDigits[BarnesG[x2], 10, digits] // First
CROSSREFS
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved