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A012114
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Expansion of e.g.f. arctan(arcsin(arcsinh(x))), odd powers only.
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1
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1, -2, 32, -1112, 76544, -8132992, 1287179904, -277075027200, 78957666709504, -28538628272500736, 12818361767117881344, -6984131400017632559104, 4545914404919471492988928, -3480400203322521156596334592, 3098206994542298409092871880704, -3171988840442245479109838621638656
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OFFSET
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0,2
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LINKS
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EXAMPLE
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x - 2/3!*x^3 + 32/5!*x^5 - 1112/7!*x^7 + 76544/9!*x^9 ...
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PROG
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(PARI) x = 'x + O('x^40); select(x->x, Vec(serlaplace(atan(asin(asinh(x)))))) \\ Michel Marcus, Mar 09 2017
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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Patrick Demichel (patrick.demichel(AT)hp.com)
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EXTENSIONS
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STATUS
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approved
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