Search: id:A087584
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%I A087584
%S A087584 1,9,122,1467,18205,223992,2762333,34044669,419657674,5172750495,
%T A087584 63760719089,785929242096,9687552661513,119411072879553,
%U A087584 1471889315038010,18142857823403763,223633182327192277
%N A087584 a(n)=(1/7)*sum(k=0,n,binomial(n,k)*Fibonacci(k)*7^k).
%F A087584 a(n)=9*a(n-1)+41*a(n-2)
%F A087584 a(n)=(1/2)*[9/2+(7/2)*sqrt(5)]^n+(1/2)[9/2-(7/2)*sqrt(5)]^n+(9/70)*[9/
               2+(7/2)*sqrt(5)]^n*sqrt(5) -(9/70)*sqrt(5)*[9/2-(7/2)*sqrt(5)]^n, 
               with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 28 2008]
%Y A087584 Cf. A014445, A057088, A015553.
%Y A087584 Sequence in context: A112941 A045976 A053889 this_sequence A138438 A085528 
               A078422
%Y A087584 Adjacent sequences: A087581 A087582 A087583 this_sequence A087585 A087586 
               A087587
%K A087584 nonn
%O A087584 0,2
%A A087584 Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 25 2003

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