Search: id:A084131
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%I A084131
%S A084131 1,5,33,245,1889,14725,115137,901045,7053121,55213445,432231393,
%T A084131 3383685365,26488919969,207366548485,1623353845377,12708307129525,
%U A084131 99486055923841,778819338036485,6096930429659553,47729375549975285
%N A084131 a(n)=10a(n-1)-17a(n-2), a(0)=0,a(1)=5.
%C A084131 Binomial transform of A084130.
%F A084131 a(n)=(5+sqrt(8))^n/2+(5-sqrt(8))^n/2; G.f.: (1-5x)/(1-10x+17x^2); E.g.f.: 
               exp(5x)cosh(sqrt(8)x).
%Y A084131 Sequence in context: A118803 A093427 A142989 this_sequence A084771 A153398 
               A034015
%Y A084131 Adjacent sequences: A084128 A084129 A084130 this_sequence A084132 A084133 
               A084134
%K A084131 easy,nonn
%O A084131 0,2
%A A084131 Paul Barry (pbarry(AT)wit.ie), May 16 2003

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