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A045688
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Numerators of expansion of tan(sin(x)) - sin(tan(x)).
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11
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0, 0, 0, 1, 29, 1913, 95, 311148869, 10193207, 1664108363, 2097555460001, 374694625074883, -48074332710505411, -4945837680716249285383, -2229960300928783674917, -24840355960694307625698893, -4153678459092607393588136503, -61444568105054860319920405585007, -335560999071136641584079760493377
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OFFSET
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0,5
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REFERENCES
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V. I. Arnold, Huygens and Barrow, Newton and Hooke, Birkhäuser, Basel, 1990.
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LINKS
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EXAMPLE
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1/30*x^7 + 29/756*x^9 + 1913/75600*x^11 + O(x^12).
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MATHEMATICA
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Plot[Tan[Sin[x]]-Sin[Tan[x]], {x, 0, π/2}] (* Shows plot, which, as Bill Gosper and Neil Bickford remark, is ultraflat near 0 and has wild oscillations near Pi/2. - N. J. A. Sloane, Apr 11 2013 *)
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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