A199066 Decimal expansion of x>0 satisfying 2*x^2+sin(x)=3.

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

Offset: 1

Author

Clark Kimberling, Nov 02 2011

Keywords

• nonn
• cons

Comments

See A198866 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			negative: -1.411987310232303288873063579688459791640...
positive:  1.03450269177738273452176790088513105811...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198866.

Programs

Mathematica

a = 2; b = 1; c = 3;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.5, -1.4}, WorkingPrecision -> 110]
RealDigits[r] (* A199065 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.03, 1.04}, WorkingPrecision -> 110]
RealDigits[r] (* A199066 *)