Search: id:A084134
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%I A084134
%S A084134 1,4,26,184,1316,9424,67496,483424,3462416,24798784,177615776,
%T A084134 1272133504,9111373376,65258185984,467397247616,3347628865024,
%U A084134 23976647434496,171727406285824,1229959365679616,8809310487721984
%N A084134 a(n)=8a(n-1)-6a(n-2), a(0)=1,a(1)=4.
%C A084134 Binomial transform of A005667.
%F A084134 a(n)=(4+sqrt(10))^n/2+(4-sqrt(10))^n/2; G.f.: (1-4x)/(1-8x+6x^2); E.g.f. 
               : exp(4x)cosh(sqrt(10)x).
%Y A084134 Cf. A084135.
%Y A084134 Sequence in context: A145840 A108082 A116429 this_sequence A098443 A052775 
               A137964
%Y A084134 Adjacent sequences: A084131 A084132 A084133 this_sequence A084135 A084136 
               A084137
%K A084134 easy,nonn
%O A084134 0,2
%A A084134 Paul Barry (pbarry(AT)wit.ie), May 16 2003

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