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A196759
Decimal expansion of the slope (negative) at the point of tangency of the curves y=1/x and y=c*sin(x), where c is given by A196758.
2
2, 4, 2, 9, 6, 2, 6, 8, 5, 0, 9, 5, 0, 3, 4, 0, 8, 6, 9, 1, 2, 6, 1, 1, 5, 8, 0, 7, 9, 5, 1, 2, 3, 0, 7, 3, 0, 1, 2, 2, 6, 9, 4, 4, 5, 7, 7, 8, 0, 1, 5, 6, 2, 1, 4, 8, 8, 6, 0, 3, 9, 0, 7, 9, 6, 1, 2, 1, 9, 6, 3, 4, 1, 9, 9, 6, 2, 3, 0, 1, 4, 0, 8, 6, 3, 3, 5, 1, 0, 5, 3, 7, 7, 4, 7, 9, 2, 5, 1, 6
OFFSET
0,1
EXAMPLE
x=-0.242962685095034086912611580795123073012...
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. A196758.
Sequence in context: A232565 A058942 A365638 * A303165 A188813 A324958
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 06 2011
STATUS
approved