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A013430
Expansion of e.g.f. exp(arcsin(x)-arctanh(x)).
0
1, 0, 0, -1, 0, -15, 10, -495, 840, -29575, 87750, -2805075, 12340900, -387547875, 2304422250, -73485787375, 556725078000, -18311017515375, 169707184396750, -5801182757296875, 63859173696337500
OFFSET
0,6
FORMULA
a(n) = (-1)^n * (A006228(n+1) - n * A006228(n)). - Mark van Hoeij, Aug 27 2005
EXAMPLE
1-1/3!*x^3-15/5!*x^5+10/6!*x^6-495/7!*x^7...
PROG
(PARI) my(x='x+O('x^30)); Vec(serlaplace(exp(asin(x)-atanh(x)))) \\ Michel Marcus, May 10 2020
CROSSREFS
Sequence in context: A013379 A013449 A013461 * A131082 A296818 A097953
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
STATUS
approved