Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A257535
Decimal expansion of the imaginary part of -E_1(i), i being the imaginary unit.
3
6, 2, 4, 7, 1, 3, 2, 5, 6, 4, 2, 7, 7, 1, 3, 6, 0, 4, 2, 8, 9, 9, 6, 8, 3, 7, 7, 8, 1, 6, 5, 7, 1, 7, 8, 4, 2, 8, 6, 2, 4, 6, 7, 4, 4, 9, 4, 9, 4, 4, 1, 1, 2, 0, 0, 1, 6, 0, 1, 7, 5, 2, 2, 5, 8, 7, 2, 2, 1, 1, 6, 6, 6, 0, 2, 3, 0, 6, 5, 8, 1, 2, 2, 5, 3, 1, 5, 2, 7, 9, 5, 8, 9, 3, 1, 7, 8, 2, 2, 7, 7, 6, 0, 5, 0
OFFSET
0,1
COMMENTS
E_1(z) = Integral_{t>=1}(exp(-t*z)/t) is the exponential integral.
LINKS
FORMULA
Equals imag(E_1(-i)).
Equals (Pi/2) - A099281.
EXAMPLE
0.6247132564277136042899683778165717842862467449494411200160175...
MATHEMATICA
RealDigits[Pi/2 - SinIntegral[1], 10, 105][[1]] (* Amiram Eldar, May 24 2023 *)
PROG
(PARI) a = imag(-eint1(I))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Stanislav Sykora, Apr 28 2015
STATUS
approved