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A013329 Expansion of e.g.f. arcsin(exp(x) - sec(x)). 0

%I #9 Aug 06 2018 02:41:41

%S 0,1,0,2,-4,20,-120,632,-6704,44480,-630240,5566112,-91544704,

%T 1063375040,-19258162560,283305867392,-5578129589504,99671066259200,

%U -2135174387566080,44678363702761472,-1044242762736047104

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

%e x + 2/3!*x^3 - 4/4!*x^4 + 20/5!*x^5 - 120/6!*x^6 ...

%o (PARI) x = 'x + O('x^30); concat(0, Vec(serlaplace(asin(exp(x) - 1/cos(x))))) \\ _Michel Marcus_, Aug 06 2018

%K sign

%O 0,4

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

%E a(0)=0 inserted and title improved by _Sean A. Irvine_, Aug 05 2018

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Last modified August 10 14:27 EDT 2024. Contains 375056 sequences. (Running on oeis4.)