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A343055
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Decimal expansion of the imaginary part of i^(1/16), or sin(Pi/32).
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2
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0, 9, 8, 0, 1, 7, 1, 4, 0, 3, 2, 9, 5, 6, 0, 6, 0, 1, 9, 9, 4, 1, 9, 5, 5, 6, 3, 8, 8, 8, 6, 4, 1, 8, 4, 5, 8, 6, 1, 1, 3, 6, 6, 7, 3, 1, 6, 7, 5, 0, 0, 5, 6, 7, 2, 5, 7, 2, 6, 4, 9, 7, 9, 8, 0, 9, 3, 8, 7, 3, 0, 2, 7, 8, 9, 0, 8, 7, 5, 3, 6, 8, 0, 7, 1, 1, 1, 0, 7, 7, 1, 4, 6, 3, 1, 8, 5, 5, 9, 5, 5, 4, 0, 7, 4, 2, 0, 6, 5, 2, 6, 4, 4, 4, 1
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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Equals (1/2) * sqrt(2-sqrt(2+sqrt(2+sqrt(2)))).
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EXAMPLE
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0.09801714032956060199419...
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MATHEMATICA
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RealDigits[Sin[Pi/32], 10, 100, -1][[1]] (* Amiram Eldar, Apr 27 2021 *)
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PROG
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(PARI) imag(I^(1/16))
(PARI) sin(Pi/32)
(PARI) sqrt(2-sqrt(2+sqrt(2+sqrt(2))))/2
(Sage) numerical_approx(sin(pi/32), digits=123) # G. C. Greubel, Sep 30 2022
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CROSSREFS
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sin(Pi/m): A010527 (m=3), A010503 (m=4), A019845 (m=5), A323601 (m=7), A182168 (m=8), A019829 (m=9), A019827 (m=10), A019824 (m=12), A232736 (m=14), A019821 (m=15), A232738 (m=16), A241243 (m=17), A019819 (m=18), A019818 (m=20), A343054 (m=24), A019815 (m=30), this sequence (m=32), A019814 (m=36).
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KEYWORD
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AUTHOR
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STATUS
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approved
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