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Numerators of coefficients in Taylor series for exp(sin(x)).
1

%I #10 Mar 07 2020 01:52:49

%S 1,1,1,0,-1,-1,-1,1,31,1,-2951,-1,181,2417,58913,-5699,-52635599,

%T -19993,1126610929,3631,27069353,-6050353,-118802490419,47438,

%U 11162375477471,41478716501,-8529964147714967,-3818348299,-2610006147952249,36698180928319

%N Numerators of coefficients in Taylor series for exp(sin(x)).

%D CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 42.

%e 1 + 1*x + (1/2)*x^2 - (1/8)*x^4 - (1/15)*x^5 - (1/240)*x^6 + (1/90)*x^7 + (31/5760)*x^8 + ...

%t Numerator[CoefficientList[Series[Exp[Sin[x]],{x,0,30}],x]] (* _Harvey P. Dale_, Jan 22 2015 *)

%Y Cf. A047688, A002017.

%K sign,easy,frac

%O 0,9

%A _N. J. A. Sloane_