|
Search: id:A048603
|
|
|
| A048603 |
|
Denominators of coefficients in function a(x) such that a(a(x)) = sin x. |
|
+0
12
|
|
| 1, 12, 160, 40320, 71680, 1277337600, 79705866240, 167382319104000, 91055981592576000, 62282291409321984000, 4024394214140805120000, 5882770031248492462080000, 9076273762497674084352000000
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
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
|
|
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. A048602, A048606.
Sequence in context: A144346 A167558 A048609 this_sequence A109391 A138455 A024221
Adjacent sequences: A048600 A048601 A048602 this_sequence A048604 A048605 A048606
|
|
KEYWORD
|
frac,nonn,nice
|
|
AUTHOR
|
Winston C. Yang (yang(AT)math.wisc.edu)
|
|
EXTENSIONS
|
Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Andrew Plewe, Jun 15 2007
|
|
|
Search completed in 0.002 seconds
|
