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A012950
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a(n) = (2n+1)! * [x^(2n+1)]; expansion of arcsin(tan(x)+arcsin(x)).
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0
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2, 11, 433, 47777, 10445209, 3792307917, 2060929368925, 1565891035323617, 1584908855099457809, 2061186455316106953685, 3349214731529157234143461, 6649249948563897129719525769, 15836980365691934720682871441241, 44569352711436570809863777097634621
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OFFSET
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0,1
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LINKS
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MAPLE
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a:= n-> (2*n+1)! *coeff(series(arcsin(tan(x)+arcsin(x)), x, 2*n+2), x, 2*n+1): seq(a(n), n=0..20);
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MATHEMATICA
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Partition[CoefficientList[Series[ArcSin[Tan[x] + ArcSin[x]], {x, 0, 23}], x]*Range[0, 23]!, 2][[All, 2]]
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PROG
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(PARI) x='x+O('x^33); /* that many terms */
v=Vec(serlaplace(asin(tan(x)+asin(x)))); /* every second term is zero */
vector(#v\2, n, v[2*n-1]) /* show terms */
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Patrick Demichel (patrick.demichel(AT)hp.com)
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STATUS
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approved
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