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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 Table of n, a(n) for n=1..105. 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. A096444, A096464. Cf. A122143 (decimal expansion of Sum_{k >= 1} cos(k)/k^2). Sequence in context: A199053 A200595 A197023 * A100811 A223652 A077383 Adjacent sequences: A096415 A096416 A096417 * A096419 A096420 A096421 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 May 29 22:36 EDT 2024. Contains 372954 sequences. (Running on oeis4.)