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A199048
Decimal expansion of x < 0 satisfying x^2 + sin(x) = 3.
3
1, 9, 7, 9, 3, 2, 0, 1, 4, 6, 5, 5, 6, 2, 1, 1, 4, 6, 0, 3, 3, 5, 7, 4, 9, 7, 1, 3, 9, 8, 8, 4, 7, 4, 4, 5, 2, 1, 1, 6, 6, 4, 2, 1, 5, 0, 5, 9, 4, 1, 8, 4, 6, 6, 7, 9, 1, 4, 0, 9, 7, 5, 5, 5, 8, 1, 8, 1, 1, 9, 5, 8, 4, 1, 9, 3, 2, 6, 5, 0, 0, 7, 5, 5, 1, 5, 8, 8, 0, 8, 8, 6, 6, 3, 9, 3, 3, 1, 6
OFFSET
1,2
COMMENTS
See A198866 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
negative: -1.979320146556211460335749713988...
positive: 1.4183100916225250456919496008037...
MATHEMATICA
a = 1; b = 1; c = 3;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.98, -1.97}, WorkingPrecision -> 110]
RealDigits[r] (* this sequence *)
r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A199049 *)
PROG
(PARI) a=1; b=1; c=3; solve(x=-2, 0, a*x^2 - c + b*sin(x)) \\ G. C. Greubel, Feb 19 2019
(Sage) a=1; b=1; c=3; (a*x^2 + b*sin(x)==c).find_root(-2, 0, x) # G. C. Greubel, Feb 19 2019
CROSSREFS
Sequence in context: A298524 A212005 A199003 * A094132 A243263 A244691
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 02 2011
STATUS
approved