A013308 Numerator of [x^n] of the Taylor series arccosh(exp(x)-arctan(x)).

1, 1, -1, -17, 109, 299, -813, -373177, 9417917, 133861013, -796664399, -229876317317, 593496669853, 693397771163639, -8404224858061139, -282791345633671703, 1818027079738117517, 978930433926331599667, -1311461752562322695549, -718591004727209379114007

Offset

1,4

Links

Table of n, a(n) for n=1..20.

Example

x + x^2/2 - x^3/8 - 17*x^4/80 + 109*x^5/1920 + 299*x^6/2304 - 813*x^7/25600 - ...

Crossrefs

Sequence in context: A156851 A354183 A141921 * A297918 A298542 A261809

Adjacent sequences: A013305 A013306 A013307 * A013309 A013310 A013311

Keyword

sign,frac

Author

Patrick Demichel

Extensions

Values replaced by numerators by R. J. Mathar, Dec 22 2011

More terms from Jason Yuen, Sep 29 2025

Status

approved