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A196401 Decimal expansion of the least positive number x satisfying e^(-x)=cos(x). 8
1, 2, 9, 2, 6, 9, 5, 7, 1, 9, 3, 7, 3, 3, 9, 8, 3, 8, 1, 1, 6, 8, 1, 8, 9, 1, 2, 1, 5, 9, 0, 6, 0, 7, 0, 4, 9, 4, 7, 3, 0, 2, 1, 2, 3, 0, 9, 7, 0, 2, 4, 7, 9, 1, 8, 8, 3, 6, 3, 6, 9, 2, 9, 4, 9, 7, 9, 9, 4, 3, 3, 7, 4, 2, 0, 5, 8, 2, 5, 8, 4, 4, 3, 3, 2, 1, 0, 6, 6, 8, 9, 5, 3, 3, 1, 5, 7, 0, 7, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

EXAMPLE

x=1.292695719373398381168189121590607049473021...

MATHEMATICA

Plot[{E^(-x), Cos[x], 2 Cos[x], 3 Cos[x], 4 Cos[x]}, {x, 0, Pi/2}]

t = x /. FindRoot[E^(-x) == Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t]  (* A196401 *)

t = x /. FindRoot[E^(-x) == 2 Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t]  (* A196402 *)

t = x /. FindRoot[E^(-x) == 3 Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t]  (* A196403 *)

t = x /. FindRoot[E^(-x) == 4 Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t]  (* A196404 *)

t = x /. FindRoot[E^(-x) == 5 Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t]  (* A196405 *)

t = x /. FindRoot[E^(-x) == 6 Cos[x], {x, 1, 1.6}, WorkingPrecision -> 100]; RealDigits[t]  (* A196406 *)

CROSSREFS

Cf. A196396.

Sequence in context: A165715 A088928 A074957 * A199726 A171546 A268682

Adjacent sequences:  A196398 A196399 A196400 * A196402 A196403 A196404

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 02 2011

STATUS

approved

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Last modified April 29 22:12 EDT 2017. Contains 285615 sequences.