A196501 - OEIS

A196501

Decimal expansion of least positive x satisfying x+cot(x)=1/x.

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

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OFFSET

1,1

COMMENTS

See A196500 for related inequalities.

LINKS

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

EXAMPLE

x=2.7437072699922693825611220811203071372042...

MATHEMATICA

Plot[{Cot[1/x], x, 1/x + Cot[1/x]}, {x, 0.34, 1.0}]

t = x /.FindRoot[1/x + Cot[1/x] == x, {x, .3, .4}, WorkingPrecision -> 100]