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A114940
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Decimal expansion of the infinite sum Sum_{k>=1} sin(k)/k!.
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2
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1, 2, 7, 9, 8, 8, 3, 0, 0, 1, 3, 7, 3, 0, 2, 2, 4, 9, 3, 9, 0, 8, 4, 6, 2, 3, 0, 1, 2, 0, 1, 3, 9, 1, 8, 8, 8, 2, 3, 5, 6, 3, 8, 9, 0, 7, 7, 3, 9, 0, 2, 8, 8, 1, 1, 4, 7, 2, 3, 8, 8, 2, 1, 5, 8, 0, 5, 3, 7, 3, 7, 1, 7, 8, 9, 6, 8, 4, 5, 4, 0, 1, 2, 1, 5, 4, 6, 4, 0, 4, 9, 2, 5, 6, 1, 2, 6, 5, 9, 1, 5, 3, 7, 3, 7, 4
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OFFSET
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1,2
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COMMENTS
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This is the imaginary part of exp(exp(i)), i the imaginary unit, where the real part is 1+A114941. - R. J. Mathar, Apr 11 2024
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LINKS
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FORMULA
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Equals e^cos(1) * sin(sin(1)).
Equals sin(sin(1)) * (cosh(cos(1)) + sinh(cos(1))).
Equals (-i)*(e^(e^i) - e^(e^(-i)))/2. (End)
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EXAMPLE
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1.279883001373022493908...
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MATHEMATICA
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Sum[N[Sin[i], 400]/i!, {i, 1, 300}] (which is accurate to 300 digits).
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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