A045689 Denominators of expansion of tan(sin(x)) - sin(tan(x)).

1, 1, 1, 30, 756, 75600, 7392, 54486432000, 4358914560, 1905468364800, 7602818775552000, 6690480522485760000, 4616431560515174400000, 226851446883715670016000000, 127036810254880775208960000, 2210440498434925488635904000000, 646080179971122507107008512000000

Offset

0,4

References

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

Konrad Knopp, Theory and application of infinite series, Blackie & Son Limited, London and Glasgow, 1954. See p. 216.

Links

Table of n, a(n) for n=0..16.

Example

1/30*x^7 + 29/756*x^9 + 1913/75600*x^11 + O(x^12).

Mathematica

Take[Denominator[CoefficientList[Series[Tan[Sin[x]]-Sin[Tan[x]], {x, 0, 40}], x]], {2, -1, 2}] (* Harvey P. Dale, May 21 2026 *)

Crossrefs

Cf. A045688, A096664, A096671, A096712, A096716.

Sequence in context: A259345 A181201 A089507 * A096722 A261030 A160269

Adjacent sequences: A045686 A045687 A045688 * A045690 A045691 A045692

Keyword

nonn,frac

Author

N. J. A. Sloane

Status

approved