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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A236357 E.g.f. satisfies: sin(x + A(x)) = A(x)^2. 1
 -1, 2, -12, 120, -1680, 30360, -672000, 17599680, -532224000, 18248902560, -699544581120, 29645099003520, -1376154991411200, 69445751181206400, -3785191236642816000, 221613328121888102400, -13870531255760776396800, 924194452386724174656000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS For n < 10 is |a(n)| = A215188(n), but a(10) is different. LINKS FORMULA E.g.f.: Series_Reversion(arcsin(x^2)-x). a(n) ~ (-1)^n * (4/sqrt(5)-8/5)^(1/4) * n^(n-1) / (exp(n) * (sqrt(sqrt(5)-2) - arcsin(sqrt(5)-2))^(n-1/2)) MATHEMATICA Rest[CoefficientList[InverseSeries[Series[ArcSin[x^2]-x, {x, 0, 20}], x], x] * Range[0, 20]!] CROSSREFS Cf. A215188, A143135. Sequence in context: A097388 A001813 A215188 * A226759 A303557 A131815 Adjacent sequences:  A236354 A236355 A236356 * A236358 A236359 A236360 KEYWORD sign AUTHOR Vaclav Kotesovec, Jan 23 2014 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 May 19 05:04 EDT 2022. Contains 353826 sequences. (Running on oeis4.)