The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A132093 Denominators of Blandin-Diaz compositional Bernoulli numbers (B^sin)_3,n. 3
 1, 10, 350, 1050, 57750, 250250, 2388750, 2231250, 1088106250, 137156250, 105761906250, 2289218750, 8842968750, 51289218750, 45049030468750, 3563716406250, 1099667378906250, 4714260332031250, 14142780996093750 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numerators are A132092. Numerators and denominators given only for even n (odd n have numerators = 0). REFERENCES J. Riordan, Combinatorial Identities, Wiley, 1968, p. 199. See Table 3.3. LINKS Hector Blandin and Rafael Diaz, Compositional Bernoulli numbers, p. 8, arXiv:0708.0809 [math.CO], 2007-2008. FORMULA (((x^3)/3!)/(sin(x)-x) = SUM[n=0..infinity] (B^sin)_3,n ((x^n)/n!). EXAMPLE -1, 0, -1/10, 0, -11/350, 0, -17,1050, 0, -563/57750, 0, -381/250250, 0. MATHEMATICA m = 20; ((x^3)/3!)/(Sin[x]-x) + O[x]^(2m) // CoefficientList[#, x]& // #*Range[0, 2m-2]!& // #[[;; ;; 2]]& // Denominator (* Jean-François Alcover, Mar 23 2020 *) CROSSREFS Cf. A132092-A132106. Sequence in context: A171583 A060704 A220185 * A339411 A217507 A217508 Adjacent sequences:  A132090 A132091 A132092 * A132094 A132095 A132096 KEYWORD frac,nonn AUTHOR Jonathan Vos Post, Aug 09 2007 EXTENSIONS More terms from R. J. Mathar, May 25 2008 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 25 00:59 EDT 2022. Contains 354830 sequences. (Running on oeis4.)