Search: id:A084135
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%I A084135
%S A084135 1,5,35,275,2225,18125,147875,1206875,9850625,80403125,656271875,
%T A084135 5356671875,43722640625,356876328125,2912923671875,23776091796875,
%U A084135 194067062890625,1584029251953125,12929286576171875,105532426982421875
%N A084135 a(n)=10a(n-1)-15a(n-2), a(0)=1,a(1)=5.
%C A084135 Binomial transform of A084134.
%F A084135 a(n)=(5+sqrt(10))^n/2+(5-sqrt(10))^n/2; G.f.: (1-5x)/(1-10x+15x^2); E.g.f. 
               : exp(5x)cosh(sqrt(10)x).
%o A084135 (PARI) a(n)=if(n<0,0,polsym(x^2-10*x+15,n)[1+n]/2)
%Y A084135 Sequence in context: A155127 A104532 A087630 this_sequence A138233 A002294 
               A051406
%Y A084135 Adjacent sequences: A084132 A084133 A084134 this_sequence A084136 A084137 
               A084138
%K A084135 easy,nonn
%O A084135 0,2
%A A084135 Paul Barry (pbarry(AT)wit.ie), May 16 2003

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