The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A199780

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A199780

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

#5 by Russ Cox at Fri Mar 30 18:57:58 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Nov 10 2011

Discussion

Fri Mar 30

18:57

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

#4 by T. D. Noe at Thu Nov 10 17:10:37 EST 2011

STATUS

proposed

approved

#3 by Clark Kimberling at Thu Nov 10 17:03:24 EST 2011

STATUS

editing

proposed

#2 by Clark Kimberling at Thu Nov 10 15:06:42 EST 2011

NAME

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

DATA

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

OFFSET

1,3

COMMENTS

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

EXAMPLE

x=1.094187451479344881855560890902485166...

MATHEMATICA

a = 2; b = -3; c = 1;

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

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

r = x /. FindRoot[f[x] == g[x], {x, 1.09, 1.10}, WorkingPrecision -> 110]

RealDigits[r] (* A199780 *)

CROSSREFS

Cf. A199597.

KEYWORD

allocated

nonn,cons

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Nov 10 2011

STATUS

approved

editing

#1 by Clark Kimberling at Thu Nov 10 11:52:25 EST 2011

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved