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A103549
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Decimal expansion of solution to x*3^x = 1.
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7
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5, 4, 7, 8, 0, 8, 6, 2, 1, 6, 5, 4, 0, 9, 7, 4, 4, 6, 4, 5, 0, 5, 7, 5, 4, 0, 8, 1, 5, 1, 0, 2, 1, 8, 5, 0, 3, 4, 5, 9, 8, 9, 3, 3, 7, 7, 0, 1, 4, 8, 9, 0, 6, 7, 2, 9, 3, 7, 2, 9, 4, 5, 5, 0, 0, 0, 7, 2, 6, 3, 5, 8, 5, 9, 0, 0, 0, 7, 6, 8, 0, 5, 0, 1, 2, 6, 5, 0, 6, 4, 7, 6, 1, 9, 0, 3, 8, 1, 9, 1, 9, 9, 3, 1, 0
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OFFSET
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0,1
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LINKS
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FORMULA
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x*3^x = 1.
x = (1/3)^(1/3)^(1/3)^... = LambertW(log(3))/log(3). - Alois P. Heinz, Dec 03 2014
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EXAMPLE
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0.54780862165409744645057540815102185034598933770148...
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MAPLE
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x:= LambertW(log(3))/log(3):
s:= convert(evalf(x, 140), string):
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MATHEMATICA
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RealDigits[x/.FindRoot[x 3^x==1, {x, .5}, WorkingPrecision->120]][[1]] (* Harvey P. Dale, May 27 2012 *)
RealDigits[ProductLog[Log[3]]/Log[3], 10, 105][[1]] (* Amiram Eldar, May 04 2023 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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