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A075924 Fifth column of triangle A075502. 3

%I

%S 1,105,6860,360150,16689351,714717675,29027537770,1135995214200,

%T 43285014073301,1617172212901245,59536438207963080,

%U 2167526889938878650,78241359077417918851,2805721220626405336815,100098458195602131838790

%N Fifth column of triangle A075502.

%C The e.g.f. given below is Sum_{m=0..4} A075513(5,m)*exp(7*(m+1)*x)/4!.

%F a(n) = A075502(n+5, 5) = (7^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).

%F a(n) = Sum_{m=0..4} A075513(5, m)*((m+1)*7)^n/4!.

%F G.f.: 1/Product_{k=1..5} (1 - 7*k*x).

%F E.g.f.: (d^5/dx^5)(((exp(7*x)-1)/7)^5)/5! = (exp(7*x) - 64*exp(14*x) + 486*exp(21*x) - 1024*exp(28*x) + 625*exp(35*x))/4!.

%Y Cf. A075923, A075925.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Oct 02 2002

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Last modified August 10 11:05 EDT 2020. Contains 336378 sequences. (Running on oeis4.)