login
A330187
Decimal expansion of the real zero (negated) of the 5th Maclaurin polynomial of e^x.
0
2, 1, 8, 0, 6, 0, 7, 1, 2, 4, 0, 3, 5, 1, 2, 5, 9, 0, 4, 4, 9, 7, 8, 3, 5, 9, 2, 6, 9, 9, 2, 0, 4, 9, 0, 9, 0, 6, 3, 0, 5, 6, 0, 6, 7, 4, 4, 4, 2, 9, 8, 8, 7, 2, 6, 7, 1, 2, 3, 3, 4, 9, 8, 0, 4, 1, 3, 8, 4, 8, 7, 3, 1, 0, 5, 5, 4, 2, 8, 2, 0, 0, 6, 3, 7, 4
OFFSET
1,1
EXAMPLE
Real zero = -2.18060712403512590449783592699204909063056067444298872671...
MATHEMATICA
z = 150; p[n_, x_] := Normal[Series[E^x, {x, 0, n}]];
t = x /. NSolve[p[5, x] == 0, x, z][[1]]
RealDigits[t][[1]]
Plot[Evaluate[p[5, x]], {x, -3, 1}]
CROSSREFS
Cf. A117605.
Sequence in context: A111789 A179447 A021825 * A323690 A152901 A317832
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Feb 11 2020
STATUS
approved