A151924 Decimal expansion of first local maximum of x^2*sin(x).

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

Offset

1,1

Comments

A solution to 2*tan(x) + x = 0. [R. J. Mathar, Aug 06 2009]

Links

Table of n, a(n) for n=1..105.

Example

2.288929728103405...

Maple

Digits := 120 ; x := 2.28 ; for it from 1 to 20 do x := x-(2*tan(x)+x)/(3+2*tan(x)^2) ; print(x) ; od: CONSTTOLIST(x) ; # R. J. Mathar, Aug 06 2009

Mathematica

NMaximize[{x^2 Sin[x]}, {x}]
RealDigits[x/.FindRoot[2*Tan[x]==-x{x, 2.288929728103405}, WorkingPrecision->200]][[1]] (* Zak Seidov, Aug 06 2009 *)

Prog

(PARI) solve(x=2, 3, 2*tan(x)+x)

Crossrefs

Sequence in context: A187791 A372260 A245235 * A346205 A343984 A268342

Adjacent sequences: A151921 A151922 A151923 * A151925 A151926 A151927

Keyword

nonn,cons

Author

Robert G. Wilson v, Aug 06 2009

Extensions

More digits from R. J. Mathar and Zak Seidov, Aug 06 2009

Status

approved