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A012027
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E.g.f. cosh(sin(arctan(x))) (even powers only).
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0
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1, 1, -11, 301, -15287, 1239481, -146243459, 23567903269, -4951201340399, 1307274054385393, -420773143716828539, 160635990248839962781, -70764171306270411101351, 34822234810202848704345001
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=((2*n)!*sum(k=0..n, binomial(n-1,n-k)/(2*k)!*(-1)^(n-k))). [From Vladimir Kruchinin, Jun 17 2011]
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EXAMPLE
| cosh(sin(arctan(x)))=1+1/2!*x^2-11/4!*x^4+301/6!*x^6-15287/8!*x^8...
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PROG
| (Maxima)
a(n):=((2*n)!*sum(binomial(n-1, n-k)/(2*k)!*(-1)^(n-k), k, 0, n)); [From Vladimir Kruchinin, Jun 17 2011]
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CROSSREFS
| Sequence in context: A001538 A101269 A012184 * A002114 A012192 A012079
Adjacent sequences: A012024 A012025 A012026 * A012028 A012029 A012030
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KEYWORD
| sign
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AUTHOR
| Patrick Demichel (dml(AT)hpfrcu03.france.hp.com)
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