A196626 - OEIS

A196626

Decimal expansion of the least x>0 satisfying 1=x*cos(5*x).

1, 1, 5, 2, 5, 6, 1, 8, 9, 1, 2, 1, 8, 1, 9, 7, 6, 0, 6, 6, 0, 1, 4, 6, 0, 0, 3, 0, 5, 9, 9, 9, 9, 0, 6, 7, 1, 3, 3, 5, 3, 6, 3, 9, 3, 6, 1, 4, 2, 4, 1, 1, 3, 3, 3, 6, 1, 6, 6, 4, 9, 8, 8, 9, 7, 0, 6, 5, 4, 8, 3, 9, 5, 5, 8, 2, 8, 0, 2, 0, 7, 6, 3, 7, 3, 5, 0, 2, 7, 8, 0, 6, 9, 6, 8, 9, 4, 5, 3, 8

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

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

EXAMPLE

x=1.152561891218197606601460030599990...

MATHEMATICA

Plot[{1/x, Cos[x], Cos[2 x], Cos[3 x], Cos[4 x]}, {x, 0, 2 Pi}]

t = x /. FindRoot[1/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]

RealDigits[t] (* A133868 *)

t = x /. FindRoot[1/x == Cos[2 x], {x, 2, 3}, WorkingPrecision -> 100]

RealDigits[t] (* A196608 *)

t = x /. FindRoot[1/x == Cos[3 x], {x, 1, 2}, WorkingPrecision -> 100]

RealDigits[t] (* A196602 *)

t = x /. FindRoot[1/x == Cos[4 x], {x, .9, 1.4}, WorkingPrecision -> 100]

RealDigits[t] (* A196609 *)

t = x /. FindRoot[1/x == Cos[5 x], {x, .9, 1.2}, WorkingPrecision -> 100]

RealDigits[t] (* A196626 *)

CROSSREFS

Sequence in context: A007292 A191583 A116558 * A082571 A354195 A087300

Adjacent sequences: A196623 A196624 A196625 * A196627 A196628 A196629

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 05 2011

STATUS

approved