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%I #43 Oct 25 2022 19:32:15
%S 1,6,49,512,6561,100000,1771561,35831808,815730721,20661046784,
%T 576650390625,17592186044416,582622237229761,20822964865671168,
%U 799006685782884121,32768000000000000000,1430568690241985328321,66249952919459433152512,3244150909895248285300369
%N a(n) = (n+5)^n.
%H Vincenzo Librandi, <a href="/A008786/b008786.txt">Table of n, a(n) for n = 0..200</a>
%F E.g.f.(x) for b(n) = n^(n-5) = a(n-5): T - (15/16)*T^2 + (85/216)T^3 - (25/288)*T^4 + (1/120)*T^5, where T=T(x) is Euler's tree function. - _Len Smiley_, Nov 17 2001
%F E.g.f.: LambertW(-x)^5/((-x)^5*(1+LambertW(-x))). - _Vladeta Jovovic_, Nov 07 2003
%F E.g.f.: (1/4)*d/dx(LambertW(-x)/(-x))^4). - _Wolfdieter Lang_, Oct 25 2022
%t Table[(n+5)^n,{n,0,20}] (* _Vladimir Joseph Stephan Orlovsky_, Dec 26 2010 *)
%o (Magma) [(n+5)^n: n in [0..20]]; // _Vincenzo Librandi_, Jun 11 2013
%o (PARI) vector(20, n, (n+4)^(n-1)) \\ _G. C. Greubel_, Sep 11 2019
%o (Sage) [(n+5)^n for n in (0..20)] # _G. C. Greubel_, Sep 11 2019
%o (GAP) List([0..20], n-> (n+5)^n); # _G. C. Greubel_, Sep 11 2019
%Y Cf. A000169, A000272, A000312, A007778, A007830, A008785, this sequence, A008787, A008788, A008789, A008790, A008791.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_