A099281 Decimal expansion of the sine integral at 1.

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

Offset: 0

Author

Robert G. Wilson v, Oct 08 2004

Keywords

• cons
• nonn

Examples

			0.946083070367183014941353313823179657812337954738111790471454773...
		

References

• HP 82480A Math Pac Owner's Manual For the HP-71, Section 11: Numerical Integration, Page 118.

Links

• Joseph K. Horn and O. Praem, Numerical Integration .

Crossrefs

Cf. A099282, A257535.

Programs

Mathematica

RealDigits[ SinIntegral[1], 10, 105][[1]]

PARI

intnum(x=0,1,sinc(x)) \\ Charles R Greathouse IV, May 08 2015

PARI

Pi/2-imag(eint1(-I)) \\ Charles R Greathouse IV, May 08 2015

Formula

From Amiram Eldar, Aug 21 2020: (Start)

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

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

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