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A196773 Decimal expansion of the least number x>0 satisfying -1=(x^2)*cos(x). 3
1, 8, 6, 3, 0, 4, 5, 3, 0, 8, 2, 4, 8, 6, 9, 9, 2, 2, 4, 0, 6, 9, 7, 9, 3, 2, 0, 4, 6, 9, 3, 6, 3, 5, 4, 1, 8, 3, 3, 4, 4, 2, 1, 0, 0, 0, 4, 6, 3, 5, 7, 8, 9, 5, 6, 7, 1, 4, 4, 9, 5, 9, 1, 8, 9, 2, 6, 4, 5, 2, 7, 4, 8, 9, 3, 9, 5, 0, 4, 7, 6, 3, 9, 3, 5, 3, 0, 7, 4, 8, 8, 7, 1, 0, 0, 8, 9, 1, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

EXAMPLE

x=1.863045308248699224069793204693635418...

MATHEMATICA

Plot[{1/x + .42, Sin[x]}, {x, 0, 2 Pi}]

t = x /. FindRoot[-1 == (x^2) Cos[x], {x, 1.5, 2.5}, WorkingPrecision -> 100]

RealDigits[t]    (* A196773 *)

c = N[-1/t + Sin[t], 100]

RealDigits[c]    (* A196774 *)

slope = N[-1/t^2, 100]

RealDigits[slope](* A196775 *)

CROSSREFS

Cf. A196774.

Sequence in context: A316588 A323810 A195336 * A197824 A085666 A084895

Adjacent sequences:  A196770 A196771 A196772 * A196774 A196775 A196776

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 06 2011

STATUS

approved

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Last modified July 16 04:23 EDT 2019. Contains 325064 sequences. (Running on oeis4.)