|
|
A196825
|
|
Decimal expansion of the least x > 0 satisfying 1/(1 + x^2) = sin(x).
|
|
10
|
|
|
7, 1, 9, 4, 2, 1, 2, 9, 6, 3, 2, 7, 4, 1, 0, 3, 1, 5, 7, 1, 6, 9, 2, 2, 9, 7, 0, 0, 3, 7, 3, 3, 2, 0, 4, 9, 0, 8, 5, 1, 0, 1, 0, 6, 8, 3, 9, 1, 7, 9, 8, 9, 7, 8, 5, 7, 1, 0, 4, 1, 5, 7, 4, 3, 2, 1, 2, 3, 5, 3, 5, 3, 4, 5, 8, 4, 2, 0, 5, 5, 0, 1, 0, 8, 1, 9, 4, 4, 8, 3, 4, 5, 2, 2, 0, 3, 6, 2, 2, 7
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
EXAMPLE
|
0.7194212963274103157169229700373320490851010...
|
|
MATHEMATICA
|
Plot[{1/(1 + x^2), Sin[x], 2 Sin[x], 3 Sin[x], 4 Sin[x]}, {x, 0, 2}]
t = x /. FindRoot[1 == (1 + x^2) Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
t = x /. FindRoot[1 == 2 (1 + x^2) Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
t = x /. FindRoot[1 == 3 (1 + x^2) Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
t = x /. FindRoot[1 == 4 (1 + x^2) Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
t = x /. FindRoot[1 == 5 (1 + x^2) Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
t = x /. FindRoot[1 == 6 (1 + x^2) Sin[x], {x, 0, 1}, WorkingPrecision -> 100]
|
|
PROG
|
(PARI) a=1; c=1; solve(x=0.5, 1, a*x^2 + c - 1/sin(x)) \\ G. C. Greubel, Aug 21 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|