The On-Line Encyclopedia of Integer Sequences (OEIS)

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A198614

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

#5 by Russ Cox at Fri Mar 30 18:57:55 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Oct 28 2011

Discussion

Fri Mar 30

18:57

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

#4 by Susanna Cuyler at Fri Oct 28 18:20:21 EDT 2011

STATUS

proposed

approved

#3 by Clark Kimberling at Fri Oct 28 17:49:09 EDT 2011

STATUS

editing

proposed

#2 by Clark Kimberling at Fri Oct 28 08:36:13 EDT 2011

NAME

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

DATA

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

OFFSET

0,1

COMMENTS

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

EXAMPLE

x=0.3167004381809262560438524000879768167851...

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, -.1, .4}]

r = x /. FindRoot[f[x] == g[x], {x, .31, .32}, WorkingPrecision -> 110]

RealDigits[r](* A198614 *)

CROSSREFS

Cf. A198414.

KEYWORD

allocated

nonn,cons

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Oct 28 2011

STATUS

approved

editing

#1 by Clark Kimberling at Thu Oct 27 10:17:57 EDT 2011

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved