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Search: id:A048603
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| A048603 |
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Denominators of coefficients in function a(x) such that a(a(x)) = sin x. |
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+0
12
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| 1, 12, 160, 40320, 71680, 1277337600, 79705866240, 167382319104000, 91055981592576000, 62282291409321984000, 4024394214140805120000, 5882770031248492462080000, 9076273762497674084352000000
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Also denominators of coefficients in function a(x) such that a(a(x)) = sinh x.
Recursion exists for coefficients, but is too complicated to process without 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^3/12 - x^5/160 ...
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CROSSREFS
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Cf. A048602, A048606.
Adjacent sequences: A048600 A048601 A048602 this_sequence A048604 A048605 A048606
Sequence in context: A098400 A019578 A048609 this_sequence A109391 A138455 A024221
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KEYWORD
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frac,nonn,nice
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AUTHOR
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Winston C. Yang (yang(AT)math.wisc.edu)
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EXTENSIONS
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Edited by njas at the suggestion of Andrew Plewe, Jun 15 2007
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