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a(1) = 1, for n > 1 a(n) is the smallest number such that the product of all previous terms is > n^n.
1

%I #3 Dec 05 2013 19:55:34

%S 1,5,6,9,12,15,17,21,23,26,28,31,34,37,39,42,45,48,50,53,56,58,61,64,

%T 66,70,72,74,78,80,83,86,88,91,94,96,99,102,105,107,110,113,116,118,

%U 121,124,126,129,132,134,138,140,142,146,148,151,153,157,159,161,165

%N a(1) = 1, for n > 1 a(n) is the smallest number such that the product of all previous terms is > n^n.

%o (PARI)v=vector(100):v[1]=1:print1("1,"):for(k=2,100,p=1:for(l=1,k-1,p=p*v[l]):print1(v[k]=ceil((k^k+1)/p)","))

%Y Cf. A074186.

%K nonn

%O 1,2

%A _Amarnath Murthy_, Aug 31 2002

%E More terms from _Ralf Stephan_, Mar 20 2003