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A048602 Numerators of coefficients in function a(x) such that a(a(x)) = sin x. +0
11
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 process without 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 A048606.

Sequence in context: A143294 A143428 A143385 this_sequence A048606 A033373 A104936

Adjacent sequences: A048599 A048600 A048601 this_sequence A048603 A048604 A048605

KEYWORD

frac,sign,nice

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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