A292751 a(n) = n!*A063019(n).

0, 1, 2, 6, 24, 240, 5040, 110880, 2298240, 47900160, 1117670400, 31654022400, 1064820556800, 39404587622400, 1532420002713600, 62512065487872000, 2723498636931072000, 128376129298120704000, 6524556605528113152000, 352829667414210674688000

Offset: 0

Author

N. J. A. Sloane, Sep 22 2017

Keywords

• nonn

Links

• Robert Price, Table of n, a(n) for n = 0..104
• John Engbers, David Galvin, Clifford Smyth, Restricted Stirling and Lah numbers and their inverses, arXiv:1610.05803 [math.CO], 2016.

Crossrefs

Cf. A063019.

Programs

Mathematica

nmax = 20; CoefficientList[InverseSeries[x - x^2 + x^3 - x^4 + O[x]^(nmax+1), x], x]*Range[0, nmax]! (* Jean-François Alcover, Jan 21 2019 *)

PARI

seq(n)=Vec(serlaplace(serreverse(x - x^2 + x^3 - x^4 + O(x*x^n))), -(n+1)) \\ Andrew Howroyd, Nov 11 2018

Extensions

Offset changed to zero and more terms added by Robert Price, Oct 19 2017