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A012414 Expansion of e.g.f. arcsinh(arctan(x) * exp(x)). 0
0, 1, 2, 0, -16, -52, 200, 3752, 18496, -190384, -4797152, -28063552, 661457920, 17348360768, 74504846208, -4999196993152, -124352680593408, -83620707815168, 65968266617811456, 1541961961341134848 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
EXAMPLE
x + 2/2!*x^2 - 16/4!*x^4 - 52/5!*x^5 + 200/6!*x^6 ...
PROG
(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(asinh(atan(x) * exp(x))))) \\ Michel Marcus, Jul 19 2018
CROSSREFS
Sequence in context: A009246 A358629 A338448 * A098336 A116093 A012409
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0) inserted and title improved by Sean A. Irvine, Jul 18 2018
STATUS
approved

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Last modified March 19 07:49 EDT 2024. Contains 370958 sequences. (Running on oeis4.)