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A012774
Expansion of e.g.f. arcsin(sec(x) * log(x+1)).
0
0, 1, -1, 6, -18, 143, -915, 9730, -100940, 1376357, -19680165, 332019710, -6000731022, 121502892067, -2640899177735, 62588297762666, -1585329875795640, 43101529687518377, -1245060181757058633
OFFSET
0,4
EXAMPLE
x - 1/2!*x^2 + 6/3!*x^3 - 18/4!*x^4 + 143/5!*x^5 ...
PROG
(PARI) x = 'x + O('x^30); concat(0, Vec(serlaplace(asin(log(x+1)/cos(x))))) \\ Michel Marcus, Jul 27 2018
CROSSREFS
Sequence in context: A009582 A222913 A091054 * A306656 A027744 A196868
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0) inserted and title improved by Sean A. Irvine, Jul 24 2018
STATUS
approved