%I #14 Jan 08 2018 21:02:27

%S 0,2,9,64,625,7776,117649,2097152,43046721,1000000000,25937424601,

%T 743008370688,23298085122481,793714773254144,29192926025390625,

%U 1152921504606846976,48661191875666868481,2185911559738696531968

%N a(n) = A000169(n+1) if n > 0; a(0) = 0.

%H INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=67">Encyclopedia of Combinatorial Structures 67</a>

%F a(0) = 0; for n >= 1, a(n) = (n+1)^n.

%F E.g.f.: -W(-x)/((1+W(-x))*x) - 1 = -(d/dx)W(x) - 1, W(x) principal branch of Lambert's function.

%Y Second column of triangle A055858. Cf. A000169, A055858, A000312.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Jun 20 2000