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A196758 Decimal expansion of the number c for which the curve y=1/x is tangent to the curve y=c*sin(x), and 0 < x < 2*Pi. 8
5, 4, 9, 5, 3, 9, 3, 9, 9, 3, 5, 5, 1, 5, 3, 4, 1, 1, 5, 2, 1, 9, 3, 8, 9, 8, 7, 3, 2, 5, 3, 8, 3, 9, 3, 8, 0, 9, 0, 0, 3, 3, 7, 2, 8, 1, 1, 5, 2, 8, 5, 6, 2, 7, 9, 9, 1, 4, 1, 4, 4, 8, 6, 9, 2, 6, 4, 3, 3, 4, 8, 0, 3, 1, 1, 8, 0, 1, 2, 5, 1, 7, 1, 0, 9, 1, 7, 7, 2, 2, 1, 6, 8, 3, 7, 7, 9, 3, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
EXAMPLE
c=0.5495393993551534115219389873253839380900...
MATHEMATICA
Plot[{1/x, .55*Sin[x]}, {x, 0, Pi}]
xt = x /. FindRoot[x + Tan[x] == 0, {x, 1.5, 2.5}, WorkingPrecision -> 100]
RealDigits[xt] (* A196504 *)
c = N[1/(xt*Sin[xt]), 100]
RealDigits[c] (* A196758 *)
slope = -1/xt^2
RealDigits[slope] (* A196759 *)
CROSSREFS
Cf. A196624.
Sequence in context: A212878 A092302 A002389 * A019776 A057763 A198609
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 06 2011
STATUS
approved

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Last modified July 21 12:49 EDT 2024. Contains 374474 sequences. (Running on oeis4.)