Search: id:A084132
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%I A084132
%S A084132 1,2,14,68,356,1832,9464,48848,252176,1301792,6720224,34691648,
%T A084132 179087936,924501632,4772534144,24637146368,127183790336,656558039552,
%U A084132 3389334900224,17496687838208,90322760754176,466271170045952
%N A084132 a(n)=4a(n-1)+6a(n-2), a(0)=1,a(1)=2.
%C A084132 Binomial transform of A002535.
%F A084132 a(n)=(2+sqrt(10))^n/2+(2-sqrt(10))^n/2; G.f.: (1-2x)/(1-4x-6x^2); E.g.f. 
               : exp(2x)cosh(sqrt(10)x).
%o A084132 (Other) sage: [lucas_number2(n,4,-6)/2 for n in xrange(0, 22)]# [From 
               Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 14 2009]
%Y A084132 Cf. A005667.
%Y A084132 Sequence in context: A144657 A167555 A109869 this_sequence A084770 A086243 
               A072888
%Y A084132 Adjacent sequences: A084129 A084130 A084131 this_sequence A084133 A084134 
               A084135
%K A084132 easy,nonn
%O A084132 0,2
%A A084132 Paul Barry (pbarry(AT)wit.ie), May 16 2003

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