A201394 Decimal expansion of x satisfying 2*x^2 - 3 = cot(x) and 0 < x < Pi.

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

Offset

1,2

Comments

See A201280 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

1.28361672705947420943788859747727870...

Mathematica

a = 2; c = -3;
f[x_] := a*x^2 + c; g[x_] := Cot[x]
Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r]    (* A201394 *)

Crossrefs

Cf. A201280.

Sequence in context: A222296 A258223 A154928 * A169844 A076123 A021783

Adjacent sequences: A201391 A201392 A201393 * A201395 A201396 A201397

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Extensions

a(92) onwards corrected by Georg Fischer, Aug 03 2021

Status

approved