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A048606 Numerators of coefficients in function a(x) such that a(a(x)) = sinh x. 2
1, 1, -1, 53, -23, 92713, -742031, -594673187, 329366540401, -104491760828591, 1508486324285153, 582710832978168221, -1084662989735717135537, 431265609837882130202597, 784759327625761394688977441 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

COMMENTS

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: A143428 A143385 A048602 * A033373 A171132 A104936

Adjacent sequences:  A048603 A048604 A048605 * A048607 A048608 A048609

KEYWORD

frac,sign,nice

AUTHOR

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

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.