A002552 Denominators of coefficients in Taylor series expansion of log(1+x)^2/sqrt(1+x).

1, 1, 2, 24, 48, 5760, 11520, 35840, 215040, 51609600, 103219200, 13624934400, 5449973760, 1322526965760, 3606891724800, 158703235891200, 105802157260800, 14800210341396480, 29600420682792960, 3749386619820441600

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• frac

Comments

Old title: Denominators of coefficients for numerical differentiation.

References

• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..200
• W. G. Bickley and J. C. P. Miller, Numerical differentiation near the limits of a difference table, Phil. Mag., 33 (1942), 1-12 (plus tables).
• W. G. Bickley and J. C. P. Miller, Numerical differentiation near the limits of a difference table, Phil. Mag., 33 (1942), 1-12 (plus tables). [Annotated scanned copy]

Crossrefs

Cf. A002551.

Programs

Mathematica

Denominator[CoefficientList[Series[Log[1 + x]^2/Sqrt[1 + x]/x, {x, 0, 40}], x]] (* Vincenzo Librandi, Mar 25 2014 *)

Extensions

More terms from Sean A. Irvine, Mar 24 2014