A330111 Decimal expansion of the solution of 1/e^x + sech(x) = 1.

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

Offset

1,4

Links

Table of n, a(n) for n=1..86.

Index entries for transcendental numbers.

Example

1.01859181977790659035422467368...

Mathematica

r = x /. FindRoot[1/E^x + Sech[x] == 1, {x, 0, 2}, WorkingPrecision -> 200]
RealDigits[r] (* A330111 *)
Plot[1/E^x + Sech[x] - 1, {x, -3, 4}]

Prog

(PARI) solve(x=1, 2, exp(-x)+1/cosh(x)-1) \\ Charles R Greathouse IV, Jul 20 2026

Crossrefs

Cf. A330112, A330113.

Sequence in context: A144454 A074071 A100126 * A335822 A233033 A244810

Adjacent sequences: A330108 A330109 A330110 * A330112 A330113 A330114

Keyword

nonn,cons,easy,changed

Author

Clark Kimberling, Jan 04 2020

Status

approved