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Search: id:A048605
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| A048605 |
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Numerators of coefficients in function a(x) such that a(a(x)) = arctan x. |
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+0
2
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| 1, -1, 7, -43, 4489, -49897, 20130311, -319053131, 329796121169, -62717244921977, 14635852695795623, -33233512260583073, 149490010959849868177, -3562767949848393597053
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Recursion exists for coefficients, but is too complicated to use without a computer algebra system
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REFERENCES
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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.
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EXAMPLE
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x - x^3/6 + x^5 * 7/120 + ...
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CROSSREFS
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Cf. A048604.
Sequence in context: A023316 A065786 A015463 this_sequence A165210 A162454 A026116
Adjacent sequences: A048602 A048603 A048604 this_sequence A048606 A048607 A048608
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KEYWORD
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frac,sign,nice
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AUTHOR
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Winston C. Yang (yang(AT)math.wisc.edu)
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