A196763 Decimal expansion of the least x>0 satisfying 5=x*sin(x).

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

Offset

1,1

Links

Table of n, a(n) for n=1..100.

Index entries for transcendental numbers.

Example

7.068891403395066800687599561916762042715045101700...

Mathematica

Plot[{1/x, 2/x, 3/x, 4/x, Sin[x]}, {x, 0, 4 Pi}]
t = x /. FindRoot[1/x == Sin[x], {x, 1, 1.2}, WorkingPrecision -> 100]
RealDigits[t]  (* A133866 *)
t = x /. FindRoot[2/x == Sin[x], {x, 6, 7}, WorkingPrecision -> 100]
RealDigits[t]   (* A196760 *)
t = x /. FindRoot[3/x == Sin[x], {x, 6, 7}, WorkingPrecision -> 100]
RealDigits[t]   (* A196761 *)
t = x /. FindRoot[4/x == Sin[x], {x, 6, 7}, WorkingPrecision -> 100]
RealDigits[t]   (* A196762 *)
t = x /. FindRoot[5/x == Sin[x], {x, 6, 7}, WorkingPrecision -> 100]
RealDigits[t]   (* A196763 *)
t = x /. FindRoot[6/x == Sin[x], {x, 6, 7}, WorkingPrecision -> 100]
RealDigits[t]   (* A196764 *)

Prog

(PARI) solve(x=7.0, 7.1, 5-x*sin(x)) \\ Charles R Greathouse IV, Apr 09 2026

Crossrefs

Cf. A196765.

Sequence in context: A094241 A021938 A076421 * A321106 A225457 A188928

Adjacent sequences: A196760 A196761 A196762 * A196764 A196765 A196766

Keyword

nonn,cons

Author

Clark Kimberling, Oct 06 2011

Status

approved