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A052122
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Numerators of coefficients in function a(x) such that a(a(x)) = exp(x) - 1.
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4
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0, 1, 1, 1, 0, 1, -7, 1, 159, -843, -1231, 2359233, -13303471, -271566005, 10142361989, 126956968965, -10502027401553, 64275615468715, 32481110981976151, -3014479147788009411, -147131182752475409229, 14607119841651449406947, 1868869263315549659372569
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OFFSET
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0,7
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REFERENCES
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R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Problem 5.52.
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LINKS
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Table of n, a(n) for n=0..22.
Dmitry Kruchinin, Vladimir Kruchinin, Method for solving an iterative functional equation $A^{2^n}(x)=F(x)$, arXiv:1302.1986
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FORMULA
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a(n)/2^A052123(n) = n!*A052104(n)/A052105(n). - R. J. Mathar, Sep 25 2011
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EXAMPLE
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a(x) = x+1/4*x^2+1/48*x^3+1/3840*x^5-7/92160*x^6+1/645120*x^7+...
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CROSSREFS
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Cf. A052123, A052104, A052105.
Sequence in context: A051186 A012034 A138324 * A027538 A027478 A009792
Adjacent sequences: A052119 A052120 A052121 * A052123 A052124 A052125
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KEYWORD
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sign,frac,easy,changed
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AUTHOR
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N. J. A. Sloane, Jan 23 2000
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EXTENSIONS
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More terms from Vladeta Jovovic, Jul 27 2002
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STATUS
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approved
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