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A099281 Decimal expansion of the sine integral at 1.

%I A099281 #12 Aug 21 2020 05:48:02
%S A099281 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,
%T A099281 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,
%U A099281 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
%N A099281 Decimal expansion of the sine integral at 1.
%D A099281 HP 82480A Math Pac Owner's Manual For the HP-71, Section 11: Numerical Integration, Page 118.
%H A099281 Joseph K. Horn and O. Praem, <a href="http://holyjoe.net/HP71/integral.htm">Numerical Integration </a>.
%F A099281 From _Amiram Eldar_, Aug 21 2020: (Start)
%F A099281 Equals Integral_{x=0..1} sin(x)/x dx.
%F A099281 Equals -Integral_{x=0..1} log(x)*cos(x) dx.
%F A099281 Equals Sum_{k>=0} (-1)^k/((2*k+1)*(2*k+1)!). (End)
%e A099281 0.946083070367183014941353313823179657812337954738111790471454773...
%t A099281 RealDigits[ SinIntegral[1], 10, 105][[1]]
%o A099281 (PARI) intnum(x=0,1,sinc(x)) \\ _Charles R Greathouse IV_, May 08 2015
%o A099281 (PARI) Pi/2-imag(eint1(-I)) \\ _Charles R Greathouse IV_, May 08 2015
%Y A099281 Cf. A099282, A257535.
%K A099281 cons,nonn
%O A099281 0,1
%A A099281 _Robert G. Wilson v_, Oct 08 2004