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%I #16 Feb 26 2018 00:55:48
%S 0,0,0,1,29,1913,95,311148869,10193207,1664108363,2097555460001,
%T 374694625074883,-48074332710505411,-4945837680716249285383,
%U -2229960300928783674917,-24840355960694307625698893,-4153678459092607393588136503,-61444568105054860319920405585007,-335560999071136641584079760493377
%N Numerators of expansion of tan(sin(x)) - sin(tan(x)).
%D V. I. Arnold, Huygens and Barrow, Newton and Hooke, Birkhäuser, Basel, 1990.
%e 1/30*x^7 + 29/756*x^9 + 1913/75600*x^11 + O(x^12).
%t 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 *)
%Y Cf. A045689 (denominators), A096664, A096671, A096712, A096716.
%K sign,frac
%O 0,5
%A _N. J. A. Sloane_