A047691 Numerators of coefficients in Taylor series for exp(tan(x)).

1, 1, 1, 1, 3, 37, 59, 137, 871, 41641, 325249, 3887, 35797, 241586893, 24362249, 5721418891, 342232522657, 4315903789009, 8224154352439, 2832484672207, 23157229065769, 183184249105857781, 9926476934520521, 2154299222076719401

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy
• frac

Examples

			1 + 1*x + (1/2)*x^2 + (1/2)*x^3 + (3/8)*x^4 + (37/120)*x^5 + (59/240)*x^6 + (137/720)*x^7 + (871/5760)*x^8 + ...
		

References

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

Crossrefs

Cf. A047692, A006229.

Programs

Mathematica

Numerator[CoefficientList[Series[Exp[Tan[x]],{x,0,30}],x]] (* Harvey P. Dale, May 19 2015 *)