A013305 Numerators of coefficients in Taylor series expansion of arccosh(exp(x)-sin(x)).

0, 1, 1, -1, -1, -5, 503, 521, -13, -827, -1812469, 44303839, 9150959, 17949817, -17645163013, -256103154817, 128934425819, 869866425977, 7718787745279031, -657691477236554437, -23770118746323659, 9983376979312685189, 15480320293784856319969, 240884767523727873137, -3694316464734123751573, -12325434071961822974423

Offset

0,6

Links

Table of n, a(n) for n=0..25.

Example

x+1/3*x^2-1/18*x^3-1/27*x^4-5/648*x^5+503/68040*x^6+521/136080*x^7-13/51030*x^8...

Mathematica

Numerator[CoefficientList[Series[ArcCosh[Exp[x]-Sin[x]], {x, 0, 30}][[2]], x]] (* Harvey P. Dale, Aug 15 2012 *)

Crossrefs

Cf. A202359.

Sequence in context: A198719 A198910 A207866 * A114066 A014287 A256704

Adjacent sequences: A013302 A013303 A013304 * A013306 A013307 A013308

Keyword

sign,frac

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Extensions

Corrected by N. J. A. Sloane, Dec 17 2011, based on discussions on the Sequence Fans Mailing List, Dec 13-17 2011.

Status

approved