The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096418 Decimal expansion of Sum_{k >= 1} sin(k)/k^2. 7
1, 0, 1, 3, 9, 5, 9, 1, 3, 2, 3, 6, 0, 7, 6, 8, 5, 0, 4, 2, 9, 4, 5, 7, 4, 3, 3, 8, 8, 8, 5, 9, 1, 4, 6, 8, 7, 5, 6, 1, 1, 7, 9, 2, 8, 0, 0, 7, 7, 7, 1, 7, 3, 1, 6, 8, 7, 7, 0, 4, 8, 5, 1, 2, 2, 6, 8, 1, 3, 7, 8, 1, 2, 3, 4, 6, 0, 7, 9, 5, 5, 7, 3, 3, 6, 3, 8, 8, 2, 1, 8, 6, 5, 4, 7, 7, 1, 2, 2, 0, 4, 2, 1, 5, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
Also, decimal expansion of the imaginary part of Sum_{k>=1} e^(i*k)/k^2. [Bruno Berselli, Mar 24 2013]
LINKS
I. Rosenholtz, Tangent sequences, world records, ..., Math. Mag., 72 (No. 5, 1999), 367-376.
EXAMPLE
1.013959132360768504294574338885914687561179280077717316877048512268137...
MATHEMATICA
$MaxExtraPrecision = 128; RealDigits[ Chop[ N[ I/2*(PolyLog[2, E^-I] - PolyLog[2, E^I]), 105]]][[1]] (* Robert G. Wilson v, Aug 16 2004 *)
PROG
(PARI) imag(polylog(2, exp(I))) \\ Charles R Greathouse IV, Jul 14 2014
CROSSREFS
Cf. A122143 (decimal expansion of Sum_{k >= 1} cos(k)/k^2).
Sequence in context: A199053 A200595 A197023 * A100811 A223652 A077383
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Aug 16 2004
EXTENSIONS
More terms from Robert G. Wilson v, Aug 17 2004
Sequence checked by T. D. Noe, Aug 21 2006
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 29 22:36 EDT 2024. Contains 372954 sequences. (Running on oeis4.)