A329937 Decimal expansion of solution of csch x + sech x = 1.

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

Offset: 1

Author

Clark Kimberling, Jan 02 2020

Keywords

• nonn
• cons
• easy

Examples

			x = 1.3901482723111926878385795316101750496233667106...
		

Crossrefs

Cf. A329938, A329939 (Beatty sequences).

Programs

Mathematica

Solve[1/Sinh[x] + 1/Cosh[x] == 1, x]
Plot[1/Sinh[x] + 1/Cosh[x] - 1, {x, -3, 3}]

Formula

Equals arcsech((1/8)*(4 - 4*sqrt(2) - 9*sqrt(5 + 4*sqrt(2)) + (5 + 4*sqrt(2))^(3/2))).