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%I #4 Jan 01 2013 12:10:43
%S 1,1,2,5,17,129,2923,428951,1309535519,565555596556379,
%T 740857737860237412264699,418997210078479016314891376985981834403,
%U 310417325465458849274468827944195726858840449351291150876911355
%N a(n)=a(n-1)*a(n-2)*a(n-3)*(1/a(n-1)+1/a(n-2)+1/a(n-3)) starting with a(1)=a(2)=1 and a(3)=2.
%F a(n) tends towards a(n-1)^phi and 1.31809...^(phi^n) where phi=(1+sqrt(5))/2=1.6180339887...
%F a(n)=a(n-1)*a(n-2)+a(n-3)*a(n-1)+a(n-2)*a(n-3). - _M. F. Hasler_, Jan 01 2013
%e a(6)=17*5*2*(1/17+1/5+1/2)=129.
%Y Cf. A074047. In more than one sense A074046 comes between A000045 and A057438.
%Y See also A121810 and A203761 and references therein.
%K nonn
%O 1,3
%A _Henry Bottomley_, Aug 14 2002
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