Search: id:A128534
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%I A128534
%S A128534 0,2,1,6,12,35,88,234,609,1598,4180,10947,28656,75026,196417,514230,
%T A128534 1346268,3524579,9227464,24157818,63245985
%N A128534 F(n)*L(n-1) where F=Fibonacci and L=Lucas numbers.
%C A128534 Generally, F(n)*L(n+k) = F(2*n + k) + F(k)*(-1)^(n+1). If k=0 the sequence 
               is A001906; if k=1 it is A081714.
%F A128534 a(n) = F(2*n - 1) + (-1)^(n+1), assuming F(0)=0 and L(0)=2.
%F A128534 a(n)=2*a(n-1)+2*a(n-2)-a(n-3). G.f.: -x*(-2+3*x)/((1+x)*(x^2-3*x+1)). 
               [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 16 2009]
%e A128534 a(5) = 35 because F(5)*L(4) = 5*7
%Y A128534 Cf. A001906, A081714, A128533, A128535.
%Y A128534 Sequence in context: A113025 A113216 A081064 this_sequence A002562 A136456 
               A123968
%Y A128534 Adjacent sequences: A128531 A128532 A128533 this_sequence A128535 A128536 
               A128537
%K A128534 easy,nonn
%O A128534 0,2
%A A128534 Axel Harvey (ax(AT)hirsig.ca), Mar 08 2007

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