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A151924
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Decimal expansion of first local maximum of x^2*sin(x).
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0
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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
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1,1
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COMMENTS
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A solution to 2*tan(x)+x=0. [From R. J. Mathar, Aug 06 2009]
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LINKS
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Table of n, a(n) for n=1..105.
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EXAMPLE
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2.288929728103405...
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MAPLE
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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) ; [From R. J. Mathar, Aug 06 2009]
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MATHEMATICA
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NMaximize[{x^2 Sin[x]}, {x}]
RealDigits[x/.FindRoot[2*Tan[x]==-x{x, 2.288929728103405}, WorkingPrecision->200]][[1]] [From Zak Seidov, Aug 06 2009]
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PROG
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(PARI) solve(x=2, 3, 2*tan(x)+x)
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CROSSREFS
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Sequence in context: A196066 A138102 A187791 * A058524 A072576 A060818
Adjacent sequences: A151921 A151922 A151923 * A151925 A151926 A151927
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KEYWORD
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nonn,cons
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AUTHOR
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Robert G. Wilson v, Aug 06 2009.
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EXTENSIONS
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More digits from R. J. Mathar and Zak Seidov, Aug 06 2009
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STATUS
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approved
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