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A332915
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Decimal expansion of the constant W(1) + 1/W(1), where W is Lambert's function.
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0
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2, 3, 3, 0, 3, 6, 6, 1, 2, 4, 7, 6, 1, 6, 8, 0, 5, 8, 3, 2, 2, 5, 1, 7, 0, 4, 3, 9, 1, 6, 2, 0, 6, 2, 6, 3, 0, 1, 8, 9, 8, 3, 3, 7, 7, 3, 8, 5, 3, 9, 8, 6, 1, 4, 2, 7, 0, 5, 5, 8, 7, 9, 8, 4, 7, 7, 0, 3, 2, 1, 6, 4, 0, 2, 7, 3, 6, 8, 0, 3, 0, 3, 4, 8, 2, 3, 0
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OFFSET
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1,1
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COMMENTS
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The graph of the exponential function exp(x) moved to the right by W(1) + 1/W(1) touches the graph of the natural logarithm log(x) at point (x,y) = (1/W(1), W(1)) = (A030797, A030178).
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LINKS
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FORMULA
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Equals 2 + Integral_{x=0..1} W(x) dx. - Amiram Eldar, Jul 18 2021
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EXAMPLE
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2.33036612476168058322517043916206263018983377385398...
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MAPLE
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evalf[200](LambertW(1) + 1/LambertW(1));
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MATHEMATICA
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RealDigits[N[LambertW[1] + 1/LambertW[1], 120]][[1]] (* Vaclav Kotesovec, Mar 02 2020 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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