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A013305 Numerators of coefficients in Taylor series expansion of arccosh(exp(x)-sin(x)). 1
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 (list; graph; refs; listen; history; text; internal format)
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 A256704 A083151

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

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Last modified August 17 21:11 EDT 2017. Contains 290656 sequences.