A088989 Denominators of coefficients of odd powers of 1/q in the solution series for Tan[x]/x=1.

1, 3, 15, 105, 315, 3465, 675675, 2027025, 241215975, 587577375, 138881925, 1581170716125, 140480936701875, 219150261254925, 32785574798851875, 106717045970262853125, 1424703093055003125, 33615869480632798734375

Offset: 1

Author

David W. Cantrell (DWCantrell(AT)sigmaxi.net), Nov 01 2003

Keywords

• frac
• nonn

References

• Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 34, equation 34:7:4 at page 325.

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..250
• Vaclav Kotesovec, Asymptotic of the coefficients A079330 / A088989.
• Eric Weisstein's World of Mathematics, Tanc Function.

Crossrefs

Numerators are in A079330.

Cf. A224196.

Programs

Mathematica

Last/@Partition[CoefficientList[InverseSeries[Series[x+Cot[x], {x, 0, 50}], q], 1/q], 2]