A198816 Decimal expansion of x>0 satisfying x^2-cos(x)=1.

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

Offset

1,3

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=1.17650193990183240044737726873104098662371235...

Mathematica

a = 1; b = -1; c = 1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r]  (* A198816 *)

Crossrefs

Cf. A198755.

Sequence in context: A341328 A094961 A069814 * A196553 A244921 A334380

Adjacent sequences: A198813 A198814 A198815 * A198817 A198818 A198819

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved