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A099281
Decimal expansion of the sine integral at 1.
8
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
0,1
REFERENCES
HP 82480A Math Pac Owner's Manual For the HP-71, Section 11: Numerical Integration, Page 118.
LINKS
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)
EXAMPLE
0.946083070367183014941353313823179657812337954738111790471454773...
MATHEMATICA
RealDigits[ SinIntegral[1], 10, 105][[1]]
PROG
(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
CROSSREFS
Sequence in context: A016630 A374490 A213614 * A086240 A288240 A289267
KEYWORD
cons,nonn
AUTHOR
Robert G. Wilson v, Oct 08 2004
STATUS
approved