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A200364 Decimal expansion of least x>0 satisfying 2*x^2+2*x+1=tan(x). 2
1, 4, 4, 7, 7, 7, 5, 5, 3, 8, 4, 2, 8, 4, 9, 3, 9, 8, 1, 4, 0, 8, 3, 9, 9, 1, 7, 2, 4, 7, 4, 7, 7, 9, 8, 3, 2, 8, 0, 6, 1, 6, 2, 9, 0, 9, 0, 3, 8, 3, 7, 3, 6, 7, 1, 7, 4, 0, 7, 6, 9, 3, 6, 8, 0, 8, 3, 4, 4, 3, 4, 3, 4, 5, 3, 2, 5, 0, 1, 7, 0, 3, 6, 0, 6, 6, 4, 0, 9, 6, 9, 6, 7, 1, 1, 7, 9, 6, 7 (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=1.447775538428493981408399172474779832806162909038...

MATHEMATICA

a = 2; b = 2; c = 1;

f[x_] := a*x^2 + b*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]   (* A200364 *)

CROSSREFS

Cf. A200338.

Sequence in context: A016711 A023404 A140245 * A147814 A168233 A238391

Adjacent sequences:  A200361 A200362 A200363 * A200365 A200366 A200367

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 17 2011

STATUS

approved

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Last modified November 13 10:29 EST 2019. Contains 329093 sequences. (Running on oeis4.)