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A013430 Expansion of e.g.f. exp(arcsin(x)-arctanh(x)). 0

%I #8 May 10 2020 15:36:07

%S 1,0,0,-1,0,-15,10,-495,840,-29575,87750,-2805075,12340900,-387547875,

%T 2304422250,-73485787375,556725078000,-18311017515375,169707184396750,

%U -5801182757296875,63859173696337500

%N Expansion of e.g.f. exp(arcsin(x)-arctanh(x)).

%F a(n) = (-1)^n * (A006228(n+1) - n * A006228(n)). - _Mark van Hoeij_, Aug 27 2005

%e 1-1/3!*x^3-15/5!*x^5+10/6!*x^6-495/7!*x^7...

%o (PARI) my(x='x+O('x^30)); Vec(serlaplace(exp(asin(x)-atanh(x)))) \\ _Michel Marcus_, May 10 2020

%Y Cf. A006228, A013170.

%K sign

%O 0,6

%A Patrick Demichel (patrick.demichel(AT)hp.com)

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Last modified August 18 14:18 EDT 2024. Contains 375269 sequences. (Running on oeis4.)