A091037 - OEIS

%I #5 Jun 29 2023 18:26:17

%S 1,144,17856,2156544,259117056,31102009344,3732432224256,

%T 447896453382144,53747684481171456,6449724779548114944,

%U 773967036949154758656,92876045955579714207744

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

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (144, -2880).

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

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

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

%K nonn,easy

%O 2,2

%A _Wolfdieter Lang_, Jan 23 2004