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A013380
Expansion of e.g.f. sin(sin(x) - tanh(x)), odd powers only.
1
1, -15, 271, -8215, 423091, -35126715, 4192844111, -652228720015, 125163350892331, -28804173376146115, 7819440342923915751, -2475114876516159269015, 904874211609774006906371, -378873316356391869172808715, 180284311084647508248207800191, -96800336889159425029828580541215
OFFSET
0,2
LINKS
EXAMPLE
(1/3!)*x^3 - (15/5!)*x^5 + (271/7!)*x^7 - (8215/9!)*x^9 + ...
MAPLE
g:= sin(sin(x)-tanh(x)):
S:= series(g, x, 52):
seq(n!*coeff(S, x, n), n=3..51, 2); # Robert Israel, Mar 05 2018
PROG
(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
CROSSREFS
Sequence in context: A361185 A013381 A013384 * A013382 A227973 A195615
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
STATUS
approved