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A009592
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Expansion of e.g.f. sinh(sin(x))/cos(x) (odd powers only).
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1
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1, 3, 17, 315, 9505, 413523, 26287601, 2238416523, 246589091137, 34186190864163, 5819027995038161, 1193323792251385179, 290182644485513596513, 82559758988564841189747
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) ~ (2*n-1)! * sinh(1) * 2^(2*n+1) / Pi^(2*n). - Vaclav Kotesovec, Jan 23 2015
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MATHEMATICA
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Sinh[ Sin[ x ] ]/Cos[ x ] (* Odd Part *)
nn = 20; Table[(CoefficientList[Series[Sec[x]*Sinh[Sin[x]], {x, 0, 2*nn+1}], x] * Range[0, 2*nn+1]!)[[n]], {n, 2, 2*nn, 2}] (* Vaclav Kotesovec, Jan 23 2015 *)
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PROG
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(PARI) x='x+O('x^30); v=Vec(serlaplace(sinh(sin(x))/cos(x))); vector((#v-1)\2 , n, v[2*n-1]) \\ G. C. Greubel, Jan 30 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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