

A151924


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


0



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
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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: A138102 A187791 A245235 * A058524 A072576 A060818
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



