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A012414
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Expansion of e.g.f. arcsinh(arctan(x) * exp(x)).
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0
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0, 1, 2, 0, -16, -52, 200, 3752, 18496, -190384, -4797152, -28063552, 661457920, 17348360768, 74504846208, -4999196993152, -124352680593408, -83620707815168, 65968266617811456, 1541961961341134848
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OFFSET
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0,3
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LINKS
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EXAMPLE
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x + 2/2!*x^2 - 16/4!*x^4 - 52/5!*x^5 + 200/6!*x^6 ...
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PROG
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(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(asinh(atan(x) * exp(x))))) \\ Michel Marcus, Jul 19 2018
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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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