A091037 Second column (k=5) of array A090214 ((4,4)-Stirling2) divided by 4*4!=96.

1, 144, 17856, 2156544, 259117056, 31102009344, 3732432224256, 447896453382144, 53747684481171456, 6449724779548114944, 773967036949154758656, 92876045955579714207744

Offset: 2

Author

Wolfdieter Lang, Jan 23 2004

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (144, -2880).

Crossrefs

Cf. A091038 (second column of (5, 5)-Stirling2 array divided by 600).

Formula

a(n)=A090214(n, 5)/(4*4!)= (4!^(n-2))*(5^(n-1)-1)/4, n>=2.

G.f.: (x^2)/((1-5!*x)*(1-4!*x))= (x/(4*4!))*(1/(1-5!*x) - 1/(1-4!*x)).