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A013431
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E.g.f.: -arcsin(arcsin(x) - arctanh(x)) (odd powers only).
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0
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0, 1, 15, 495, 29575, 2805075, 387547875, 73496998575, 18322452939375, 5810121991600875, 2283796491396190875, 1089828106992320070375, 620645663306405750934375, 415796249727049685923771875, 323721378608985101109612121875, 289840773808099328924207553609375
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..16.
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EXAMPLE
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-arcsin(arcsin(x) - arctanh(x)) = 1/3!*x^3 + 15/5!*x^5 + 495/7!*x^7 + 29575/9!*x^9 + ...
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MATHEMATICA
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With[{nn=30}, -Take[CoefficientList[Series[ArcSin[ArcSin[x]-ArcTanh[x]], {x, 0, nn}], x] Range[0, nn-1]!, {4, -1, 2}]] (* Harvey P. Dale, Mar 28 2013 *)
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PROG
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(PARI)
N = 2*66; x = 'x + O('x^N);
egf = -asin(asin(x) - atanh(x)) + 'c0;
gf = serlaplace(egf);
v = Vec(gf); v[1]-='c0;
vector(#v\2, n, v[2*n])
/* Joerg Arndt, Mar 29 2013 */
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CROSSREFS
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Sequence in context: A013433 A013435 A151816 * A013432 A062752 A218226
Adjacent sequences: A013428 A013429 A013430 * A013432 A013433 A013434
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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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