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A048606 Numerators of coefficients in function a(x) such that a(a(x)) = sinh x. +0
3
1, 1, -1, 53, -23, 92713, -742031, -594673187, 329366540401, -104491760828591, 1508486324285153, 582710832978168221, -1084662989735717135537, 431265609837882130202597, 784759327625761394688977441 (list; graph; listen)
OFFSET

0,4

COMMENT

Recursion exists for coefficients, but is too complicated to use without a computer algebra system

REFERENCES

W. C. Yang, Polynomials are essentially integer partitions, preprint, 1999

W. C. Yang, Composition equations, preprint, 1999

W. C. Yang, Derivatives are essentially integer partitions, Discrete Math., 222 (2000), 235-245.

EXAMPLE

x + x^3/12 - x^5/160 + ...

CROSSREFS

Cf. A048603. Apart from signs, the same sequence as A048602.

Sequence in context: A051320 A078681 A048602 this_sequence A033373 A104936 A109648

Adjacent sequences: A048603 A048604 A048605 this_sequence A048607 A048608 A048609

KEYWORD

frac,sign,nice

AUTHOR

Winston C. Yang (yang(AT)math.wisc.edu)

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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