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A121224
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Decimal expansion of 1/(2 tan(1/2)).
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0
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9, 1, 5, 2, 4, 3, 8, 6, 0, 8, 5, 6, 2, 2, 5, 9, 5, 9, 6, 3, 4, 0, 0, 9, 7, 1, 9, 4, 8, 4, 4, 0, 8, 3, 1, 1, 8, 7, 9, 0, 5, 3, 9, 7, 4, 0, 0, 8, 0, 6, 7, 0, 0, 2, 1, 8, 3, 2, 0, 7, 9, 7, 3, 3, 9, 2, 7, 3, 0, 6, 1, 2, 0, 9, 8, 1, 7, 7, 5, 8, 0, 0, 5, 6, 0, 7, 3, 2, 4, 3, 8, 9, 5, 5, 2, 4, 9, 1, 3, 9, 5
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| The divergent series sum_(n>=1) sin(n) sums to this value if interpreted as a geometric series; that is, sum_(n>=1) sin(n) = Im(sum_(n>=1) e^(ni)) = Im(-e^i/(e^i-1)) = 1/(2 tan(1/2)). If x_m = sum_(0<n<m) sin(n), then (max(x_1, x_2, ...) + min(x_1, x_2, ...))/2 tends to this number. Given by the series 1+sum_(n>=1) (-1)^n B_(2n)/(2n)!. Corresponding value for cos is -1/2.
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EXAMPLE
| a = 0.915243860856225...
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MATHEMATICA
| RealDigits[N[1/(2 Tan[1/2]), 101]]
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CROSSREFS
| Sequence in context: A192930 A010168 A197684 * A100924 A143296 A198355
Adjacent sequences: A121221 A121222 A121223 * A121225 A121226 A121227
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KEYWORD
| cons,nonn
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AUTHOR
| Fredrik Johansson (fredrik.johansson(AT)gmail.com), Aug 20 2006
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