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A012114 Expansion of e.g.f. arctan(arcsin(arcsinh(x))), odd powers only. 1
1, -2, 32, -1112, 76544, -8132992, 1287179904, -277075027200, 78957666709504, -28538628272500736, 12818361767117881344, -6984131400017632559104, 4545914404919471492988928, -3480400203322521156596334592, 3098206994542298409092871880704, -3171988840442245479109838621638656 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 15 03:48 EST 2019. Contains 329990 sequences. (Running on oeis4.)