Search: id:A083859
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%I A083859
%S A083859 0,1,1,4,9,41,133,673,2737,15130,72181,430739,2320825,14815529,88005541,
%T A083859 596681296,3843559137,27515587661,189933449365,1428716457761,
%U A083859 10474213334761,82448447397646,637534807917701,5233087759204967
%N A083859 Main diagonal of generalized Fibonacci array A083856.
%C A083859 if s(n) is a sequence of the form s(0) =0, s(1)=x,s(n)= s(n-1)+k(s(n-2) 
               then s(k) = a(n)*x. For example if k= 7 and x= 5, s(7)= 0,5,5,40,
               75,355,880,3365 (3365= 673*5) [From Gary Detlefs (gdetlefs(AT)aol.com), 
               Dec 04 2009]
%F A083859 a(n)=(((1+sqrt(4n+1))/2)^n-((1-sqrt(4n+1))/2)^n)/sqrt(4n+1)
%Y A083859 Cf. A083860.
%Y A083859 Sequence in context: A042887 A053908 A149165 this_sequence A070761 A149166 
               A149167
%Y A083859 Adjacent sequences: A083856 A083857 A083858 this_sequence A083860 A083861 
               A083862
%K A083859 easy,nonn,new
%O A083859 0,4
%A A083859 Paul Barry (pbarry(AT)wit.ie), May 06 2003

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