A099283 Decimal expansion of the hyperbolic sine integral at 1.

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

Offset: 1

Author

Robert G. Wilson v, Oct 08 2004

Keywords

• cons
• nonn

Examples

			1.05725087537572851457184235489587795902405393756980789961210352247...
		

Programs

Mathematica

RealDigits[ SinhIntegral[1], 10, 105][[1]]

Formula

From Amiram Eldar, Aug 21 2020: (Start)

Equals Integral_{x=0..1} sinh(x)/x dx.

Equals -Integral_{x=0..1} log(x)*cosh(x) dx.

Equals Sum_{k>=0} 1/((2*k+1)*(2*k+1)!). (End)