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%I #6 Nov 27 2015 05:35:37
%S 0,1,1,3,9,42,282,2802,42348,984576,35804724,2056887084,188218830732,
%T 27582766315980,6497743050809304,2466474617607855408,
%U 1510962789131940581928,1495259232837545099449512,2391833322688676458284572616,6186748984680033744268134049416
%N a(n)=F(n-1)a(n-1)+F(n)a(n-2), where F = A000045 (Fibonacci numbers), a(0)=0, a(1)=1.
%F a(n) ~ c * ((1+sqrt(5))/2)^(n*(n-1)/2) / 5^(n/2), where c = 49.6023707313141860163673593923904868464364654572509980004... . - _Vaclav Kotesovec_, Nov 27 2015
%t RecurrenceTable[{a[0]==0,a[1]==1,a[n]==Fibonacci[n-1]a[n-1]+ Fibonacci[ n] a[n-2]},a,{n,20}] (* _Harvey P. Dale_, Apr 25 2014 *)
%Y Cf. A096655.
%K nonn
%O 0,4
%A _Clark Kimberling_, Apr 20 2005
%E Corrected and extended by _Harvey P. Dale_, Apr 25 2014