The On-Line Encyclopedia of Integer Sequences (OEIS)

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A198562

Decimal expansion of x>0 having 3*x^2-2x=3*sin(x).
(history; published version)

#5 by Russ Cox at Fri Mar 30 18:57:54 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Oct 26 2011

Discussion

Fri Mar 30

18:57

OEIS Server: https://oeis.org/edit/global/285

#4 by T. D. Noe at Wed Oct 26 20:17:56 EDT 2011

STATUS

proposed

approved

#3 by Clark Kimberling at Wed Oct 26 19:34:18 EDT 2011

STATUS

editing

proposed

#2 by Clark Kimberling at Wed Oct 26 19:23:59 EDT 2011

NAME

allocated for Clark KimberlingDecimal expansion of x>0 having 3*x^2-2x=3*sin(x).

DATA

1, 3, 7, 8, 6, 6, 0, 9, 4, 8, 1, 9, 9, 5, 4, 9, 1, 9, 3, 0, 5, 2, 5, 5, 6, 8, 5, 4, 2, 7, 5, 9, 0, 4, 1, 2, 5, 6, 1, 8, 2, 4, 6, 7, 0, 3, 8, 6, 5, 0, 2, 2, 2, 9, 7, 1, 5, 6, 0, 5, 6, 4, 9, 2, 8, 3, 5, 7, 5, 6, 6, 6, 5, 6, 7, 2, 9, 6, 8, 7, 1, 9, 8, 0, 1, 4, 8, 5, 6, 8, 6, 0, 9, 8, 6, 6, 8, 9, 1

OFFSET

1,2

COMMENTS

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

EXAMPLE

x=1.3786609481995491930525568542759041256182467...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -.2, 1.5}]

r = x /. FindRoot[f[x] == g[x], {x, 1.37, 1.38}, WorkingPrecision -> 110]

RealDigits[r] (* A198562 *)

CROSSREFS

Cf. A198414.

KEYWORD

allocated

nonn,cons

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Oct 26 2011

STATUS

approved

editing

#1 by Clark Kimberling at Wed Oct 26 17:27:32 EDT 2011

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved