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A201403 Decimal expansion of x satisfying x^2+8=sec(x) and 0<x<pi. 2
1, 4, 7, 2, 2, 8, 5, 6, 9, 0, 4, 6, 1, 3, 4, 7, 6, 6, 2, 3, 7, 1, 4, 6, 4, 5, 4, 7, 8, 2, 4, 0, 4, 0, 1, 9, 5, 4, 5, 3, 2, 9, 4, 9, 3, 6, 6, 0, 9, 0, 1, 6, 2, 8, 3, 7, 4, 5, 4, 0, 1, 1, 7, 2, 4, 5, 1, 0, 4, 8, 4, 0, 8, 2, 2, 0, 9, 8, 2, 4, 3, 6, 7, 0, 1, 3, 8, 9, 2, 1, 7, 0, 7, 7, 5, 1, 4, 5, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A201397 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

x=1.472285690461347662371464547824040195...

MATHEMATICA

a = 1; c = 8;

f[x_] := a*x^2 + c; g[x_] := Sec[x]

Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}]

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

RealDigits[r]     (* A201403 *)

CROSSREFS

Cf. A201397.

Sequence in context: A246710 A139346 A133390 * A011351 A132026 A198506

Adjacent sequences:  A201400 A201401 A201402 * A201404 A201405 A201406

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 01 2011

STATUS

approved

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Last modified January 19 21:47 EST 2020. Contains 331066 sequences. (Running on oeis4.)