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A332322
Decimal expansion of the real zero (negated) of the 7th Maclaurin polynomial of e^x.
0
2, 7, 5, 9, 0, 0, 2, 7, 0, 9, 9, 6, 2, 2, 7, 1, 8, 5, 6, 5, 8, 2, 5, 4, 0, 9, 2, 3, 0, 6, 7, 5, 4, 1, 6, 8, 9, 8, 3, 4, 3, 7, 7, 2, 6, 9, 6, 4, 9, 9, 0, 8, 3, 7, 4, 3, 9, 1, 3, 6, 4, 8, 3, 6, 5, 4, 7, 4, 2, 9, 8, 5, 9, 7, 3, 4, 9, 2, 3, 5, 0, 6, 3, 2, 5, 1
OFFSET
1,1
EXAMPLE
Real zero = -2.75900270996227185658254092306754168983437...
MATHEMATICA
z = 150; p[n_, x_] := Normal[Series[E^x, {x, 0, n}]];
t = x /. NSolve[p[7, x] == 0, x, z][[1]]
RealDigits[t][[1]]
Plot[Evaluate[p[7, x]], {x, -4, 1}]
CROSSREFS
Cf. A117605.
Sequence in context: A079833 A198737 A010593 * A117931 A011051 A024691
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Feb 11 2020
STATUS
approved