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A096730 Denominators of terms in series expansion of (sin(tan(x)) - tan(sin(x))) / (arcsin(arctan(x)) - arctan(arcsin(x))). 2
1, 3, 1890, 11907, 1650310200, 270320810760, 851510553894000, 1003164583542521400, 480315202600159246320000, 393378150929530422736080000, 62700543476657854079903791200000, 1975067119514722403516969422800000, 76571832941186160874811737622400000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

V. I. Arnold, Huygens and Barrow, Newton and Hooke, Birkhäuser, Basel, 1990.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..180

EXAMPLE

(sin(tan(x)) - tan(sin(x))) / (arcsin(arctan(x)) - arctan(arcsin(x))) = 1 + 5/3*x^2 + 1313/1890*x^4 - 2773/11907*x^6 - 701933647/1650310200*x^8 - 86849082293/270320810760*x^10 - ...

MATHEMATICA

Denominator[Take[CoefficientList[Series[(Sin[Tan[x]] - Tan[Sin[x]]) / (ArcSin[ArcTan[x]] - ArcTan[ArcSin[x]]), {x, 0, 10}], x], {1, -1, 2}]] (* G. C. Greubel, Nov 20 2016 *)

CROSSREFS

Cf. A096725, A096722, A096717, A096718, A096664, A096671, A096712, A096716, A045688, A045689, A096719, A096720.

Sequence in context: A290944 A116994 A172940 * A255862 A236481 A307928

Adjacent sequences:  A096727 A096728 A096729 * A096731 A096732 A096733

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Aug 15 2004

STATUS

approved

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Last modified June 25 12:55 EDT 2022. Contains 354851 sequences. (Running on oeis4.)