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A215678
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n-th derivative of sec(x)^sinh(x) at x=0.
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1
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1, 0, 0, 3, 0, 20, 90, 203, 3360, 11640, 123480, 971883, 7155720, 81842540, 689969280, 8098733243, 87787889280, 1037050927920, 13312247451840, 170378180195283, 2401844355066240, 34222349644158980, 518547579965036160, 8138997539240165003, 132773771778775670400
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OFFSET
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0,4
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COMMENTS
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sec(x) = 1/cos(x).
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LINKS
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FORMULA
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E.g.f.: sec(x)^sinh(x).
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MAPLE
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a:= n-> n!* coeff(series(sec(x)^sinh(x), x, n+1), x, n):
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MATHEMATICA
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f[x_] := Sec[x]^Sinh[x]; Table[Derivative[n][f][0], {n, 0, 25}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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