A199372 Decimal expansion of x>0 satisfying x^2+x*sin(x)=3.

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

Offset

1,2

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Index entries for transcendental numbers.

Example

1.3146341719856789490336412825877669221430...

Mathematica

a = 1; b = 1; c = 3;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r]  (* A199372 *)

Crossrefs

Cf. A199370.

Sequence in context: A251633 A135611 A306804 * A011089 A100954 A071315

Adjacent sequences: A199369 A199370 A199371 * A199373 A199374 A199375

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Status

approved