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A202321
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Decimal expansion of x > 0 satisfying x + 2 = exp(x).
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3
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1, 1, 4, 6, 1, 9, 3, 2, 2, 0, 6, 2, 0, 5, 8, 2, 5, 8, 5, 2, 3, 7, 0, 6, 1, 0, 2, 8, 5, 2, 1, 3, 6, 8, 2, 5, 2, 8, 8, 8, 6, 6, 2, 0, 4, 6, 1, 8, 2, 4, 8, 8, 4, 2, 6, 0, 3, 4, 6, 1, 9, 2, 9, 1, 2, 8, 6, 7, 7, 5, 1, 6, 3, 9, 8, 7, 5, 4, 8, 8, 7, 0, 7, 7, 4, 3, 9, 6, 0, 6, 6, 1, 6, 9, 0, 4, 4, 6, 7
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OFFSET
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1,3
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COMMENTS
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See A202320 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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FORMULA
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EXAMPLE
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x < 0: -1.841405660436960637846604658012486...
x > 0: 1.1461932206205825852370610285213682...
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MATHEMATICA
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u = 1; v = 2;
f[x_] := u*x + v; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.9, -1.8}, WorkingPrecision -> 110]
r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
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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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