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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

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)