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A200365 Decimal expansion of least x > 0 satisfying 2*x^2 + 2*sin(x) + 3 = tan(x). 2
1, 4, 6, 3, 3, 5, 1, 5, 2, 6, 2, 3, 9, 0, 5, 7, 3, 0, 0, 7, 6, 6, 6, 7, 3, 2, 2, 4, 3, 4, 8, 1, 5, 4, 1, 3, 0, 6, 7, 5, 6, 6, 7, 3, 6, 6, 7, 6, 4, 1, 9, 4, 3, 8, 9, 7, 3, 4, 3, 8, 2, 4, 9, 0, 0, 5, 8, 3, 3, 5, 2, 0, 6, 6, 6, 8, 5, 2, 2, 6, 9, 8, 9, 0, 5, 7, 0, 4, 9, 3, 6, 0, 8, 4, 2, 4, 5, 3, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A200338 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

x=1.463351526239057300766673224348154130675667...

MATHEMATICA

a = 2; b = 2; c = 3;

f[x_] := a*x^2 + b*Sin[x] + c; g[x_] := Tan[x]

Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]

RealDigits[r]   (* A200365 *)

CROSSREFS

Cf. A200338.

Sequence in context: A338143 A016492 A213080 * A198121 A244020 A179374

Adjacent sequences:  A200362 A200363 A200364 * A200366 A200367 A200368

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 17 2011

EXTENSIONS

Definition corrected by Georg Fischer, Aug 05 2021

STATUS

approved

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Last modified January 20 08:54 EST 2022. Contains 350471 sequences. (Running on oeis4.)