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A075909 Sixth column of triangle A075499. 1

%I

%S 1,84,4256,169344,5843712,183794688,5421678592,152720375808,

%T 4157366140928,110282217357312,2867778350481408,73424436820180992,

%U 1857023919127527424,46511918954689069056,1155904251854380335104

%N Sixth column of triangle A075499.

%C The e.g.f. given below is Sum_{m=0..5} A075513(6,m)*exp(4*(m+1)*x)/5!.

%F a(n) = A075499(n+6, 6) = (4^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2).

%F a(n) = Sum_{m=0..5} A075513(6, m)*((m+1)*4)^n/5!.

%F G.f.: 1/Product_{k=1..6} (1 - 4*k*x).

%F E.g.f.: (d^6/dx^6)(((exp(4*x)-1)/4)^6)/6! = (-exp(4*x) + 160*exp(8*x) - 2430*exp(12*x) + 10240*exp(16*x) - 15625*exp(20*x) + 7776*exp(24*x))/5!.

%Y Cf. A075908, A075910.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Oct 02 2002

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Last modified March 28 15:10 EDT 2020. Contains 333089 sequences. (Running on oeis4.)