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Expansion of e.g.f. sin(sin(x) - tanh(x)), odd powers only.
1

%I #14 Mar 06 2018 02:49:17

%S 1,-15,271,-8215,423091,-35126715,4192844111,-652228720015,

%T 125163350892331,-28804173376146115,7819440342923915751,

%U -2475114876516159269015,904874211609774006906371,-378873316356391869172808715,180284311084647508248207800191,-96800336889159425029828580541215

%N Expansion of e.g.f. sin(sin(x) - tanh(x)), odd powers only.

%H Robert Israel, <a href="/A013380/b013380.txt">Table of n, a(n) for n = 0..238</a>

%e (1/3!)*x^3 - (15/5!)*x^5 + (271/7!)*x^7 - (8215/9!)*x^9 + ...

%p g:= sin(sin(x)-tanh(x)):

%p S:= series(g,x,52):

%p seq(n!*coeff(S,x,n),n=3..51,2); # _Robert Israel_, Mar 05 2018

%o (PARI) x = 'x + O('x^40); v = Vec(serlaplace(sin(sin(x) - tanh(x)))); vector(#v\2, k, v[2*k-1]) \\ _Michel Marcus_, Mar 06 2018

%K sign

%O 0,2

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