login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096722 Denominators of terms in series expansion of arcsin(arctan(x)) - arctan(arcsin(x)). 6
1, 1, 1, 30, 756, 75600, 199584, 54486432000, 2421619200, 151227648000, 5913303492096000, 5203707073044480000, 512936840057241600000, 5041143264082570444800000, 1238175538546596249600000, 11695452372671563431936000000, 33500453776280426294437478400000, 44295044437526341433756221440000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..200

EXAMPLE

arcsin(arctan(x)) - arctan(arcsin(x)) = -1/30*x^7 + 13/756*x^9 - 2329/75600*x^11 + 3749/199584*x^13 - 1405132357/54486432000*x^15 + ...

MATHEMATICA

Denominator[Take[CoefficientList[Series[ArcSin[ArcTan[x]] - ArcTan[ArcSin[x]], {x, 0, 40}], x], {2, -1, 2}]] (* G. C. Greubel, Nov 18 2016 *)

CROSSREFS

Cf. A096721, A096717, A096718, A096664, A096671, A096712, A096716, A045688, A045689, A096719, A096720.

Sequence in context: A181201 A089507 A045689 * A261030 A176646 A160269

Adjacent sequences:  A096719 A096720 A096721 * A096723 A096724 A096725

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Aug 15 2004

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 2 11:20 EDT 2020. Contains 334771 sequences. (Running on oeis4.)