A012114 Expansion of e.g.f. arctan(arcsin(arcsinh(x))), odd powers only.

1, -2, 32, -1112, 76544, -8132992, 1287179904, -277075027200, 78957666709504, -28538628272500736, 12818361767117881344, -6984131400017632559104, 4545914404919471492988928, -3480400203322521156596334592, 3098206994542298409092871880704, -3171988840442245479109838621638656

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Example

x - 2/3!*x^3 + 32/5!*x^5 - 1112/7!*x^7 + 76544/9!*x^9 ...

Prog

(PARI) x = 'x + O('x^40); select(x->x, Vec(serlaplace(atan(asin(asinh(x)))))) \\ Michel Marcus, Mar 09 2017

Crossrefs

Sequence in context: A012119 A282835 A012198 * A055929 A012237 A012093

Adjacent sequences: A012111 A012112 A012113 * A012115 A012116 A012117

Keyword

sign

Author

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

Extensions

More terms from Michel Marcus, Mar 09 2017

Status

approved